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Finding the Fourth Proportional to 9,816.40, 13,713.80 and 9,816.40

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Solution

The fourth proportional to 9,816.40, 13,713.80 and 9,816.40 is: 13,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.40 : 13,713.80 = 9,816.40 : x
  2. Step 2: Convert to fraction form
    9,816.40/13,713.80 = 9,816.40/x
  3. Step 3: Cross multiply
    9,816.40x = 13,713.80 × 9,816.40
  4. Step 4: Simplify right side
    9,816.40x = 134,620,146.32
  5. Step 5: Solve for x
    x = 134,620,146.32/9,816.40
  6. Step 6: Final answer
    x = 13,713.80

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.