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Finding the Fourth Proportional to 10,737.50, 16,086.20 and 9,579.20

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Solution

The fourth proportional to 10,737.50, 16,086.20 and 9,579.20 is: 14,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.50 : 16,086.20 = 9,579.20 : x
  2. Step 2: Convert to fraction form
    10,737.50/16,086.20 = 9,579.20/x
  3. Step 3: Cross multiply
    10,737.50x = 16,086.20 × 9,579.20
  4. Step 4: Simplify right side
    10,737.50x = 154,092,798.71
  5. Step 5: Solve for x
    x = 154,092,798.71/10,737.50
  6. Step 6: Final answer
    x = 14,350.91

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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.