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Finding the Fourth Proportional to 11,407.04, 15,705.12 and 9,934.40

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Solution

The fourth proportional to 11,407.04, 15,705.12 and 9,934.40 is: 13,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.04 : 15,705.12 = 9,934.40 : x
  2. Step 2: Convert to fraction form
    11,407.04/15,705.12 = 9,934.40/x
  3. Step 3: Cross multiply
    11,407.04x = 15,705.12 × 9,934.40
  4. Step 4: Simplify right side
    11,407.04x = 156,020,944.13
  5. Step 5: Solve for x
    x = 156,020,944.13/11,407.04
  6. Step 6: Final answer
    x = 13,677.60

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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.