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Finding the Fourth Proportional to 9,909.13, 13,669.55 and 7,547.17

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Solution

The fourth proportional to 9,909.13, 13,669.55 and 7,547.17 is: 10,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.13 : 13,669.55 = 7,547.17 : x
  2. Step 2: Convert to fraction form
    9,909.13/13,669.55 = 7,547.17/x
  3. Step 3: Cross multiply
    9,909.13x = 13,669.55 × 7,547.17
  4. Step 4: Simplify right side
    9,909.13x = 103,166,379.94
  5. Step 5: Solve for x
    x = 103,166,379.94/9,909.13
  6. Step 6: Final answer
    x = 10,411.24

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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.