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Finding the Fourth Proportional to 10,909.28, 14,949.90 and 9,859.52

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Solution

The fourth proportional to 10,909.28, 14,949.90 and 9,859.52 is: 13,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.28 : 14,949.90 = 9,859.52 : x
  2. Step 2: Convert to fraction form
    10,909.28/14,949.90 = 9,859.52/x
  3. Step 3: Cross multiply
    10,909.28x = 14,949.90 × 9,859.52
  4. Step 4: Simplify right side
    10,909.28x = 147,398,838.05
  5. Step 5: Solve for x
    x = 147,398,838.05/10,909.28
  6. Step 6: Final answer
    x = 13,511.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.