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Finding the Fourth Proportional to 11,407.54, 15,705.81 and 9,934.90

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Solution

The fourth proportional to 11,407.54, 15,705.81 and 9,934.90 is: 13,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.54 : 15,705.81 = 9,934.90 : x
  2. Step 2: Convert to fraction form
    11,407.54/15,705.81 = 9,934.90/x
  3. Step 3: Cross multiply
    11,407.54x = 15,705.81 × 9,934.90
  4. Step 4: Simplify right side
    11,407.54x = 156,035,651.77
  5. Step 5: Solve for x
    x = 156,035,651.77/11,407.54
  6. Step 6: Final answer
    x = 13,678.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.