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Finding the Fourth Proportional to 9,998.40, 13,856.10 and 9,857.46

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Solution

The fourth proportional to 9,998.40, 13,856.10 and 9,857.46 is: 13,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.40 : 13,856.10 = 9,857.46 : x
  2. Step 2: Convert to fraction form
    9,998.40/13,856.10 = 9,857.46/x
  3. Step 3: Cross multiply
    9,998.40x = 13,856.10 × 9,857.46
  4. Step 4: Simplify right side
    9,998.40x = 136,585,951.51
  5. Step 5: Solve for x
    x = 136,585,951.51/9,998.40
  6. Step 6: Final answer
    x = 13,660.78

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.