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Finding the Fourth Proportional to 8,491.76, 12,737.28 and 3,298.76

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Solution

The fourth proportional to 8,491.76, 12,737.28 and 3,298.76 is: 4,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.76 : 12,737.28 = 3,298.76 : x
  2. Step 2: Convert to fraction form
    8,491.76/12,737.28 = 3,298.76/x
  3. Step 3: Cross multiply
    8,491.76x = 12,737.28 × 3,298.76
  4. Step 4: Simplify right side
    8,491.76x = 42,017,229.77
  5. Step 5: Solve for x
    x = 42,017,229.77/8,491.76
  6. Step 6: Final answer
    x = 4,948.00

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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.