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Finding the Fourth Proportional to 10,737.60, 16,106.40 and 9,895.20

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Solution

The fourth proportional to 10,737.60, 16,106.40 and 9,895.20 is: 14,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.60 : 16,106.40 = 9,895.20 : x
  2. Step 2: Convert to fraction form
    10,737.60/16,106.40 = 9,895.20/x
  3. Step 3: Cross multiply
    10,737.60x = 16,106.40 × 9,895.20
  4. Step 4: Simplify right side
    10,737.60x = 159,376,049.28
  5. Step 5: Solve for x
    x = 159,376,049.28/10,737.60
  6. Step 6: Final answer
    x = 14,842.80

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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.