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Finding the Fourth Proportional to 10,639.13, 15,972.82 and 9,089.09

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Solution

The fourth proportional to 10,639.13, 15,972.82 and 9,089.09 is: 13,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.13 : 15,972.82 = 9,089.09 : x
  2. Step 2: Convert to fraction form
    10,639.13/15,972.82 = 9,089.09/x
  3. Step 3: Cross multiply
    10,639.13x = 15,972.82 × 9,089.09
  4. Step 4: Simplify right side
    10,639.13x = 145,178,295.95
  5. Step 5: Solve for x
    x = 145,178,295.95/10,639.13
  6. Step 6: Final answer
    x = 13,645.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.