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Finding the Fourth Proportional to 28,491.96, 42,737.94 and 7,718.52

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Solution

The fourth proportional to 28,491.96, 42,737.94 and 7,718.52 is: 11,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,491.96 : 42,737.94 = 7,718.52 : x
  2. Step 2: Convert to fraction form
    28,491.96/42,737.94 = 7,718.52/x
  3. Step 3: Cross multiply
    28,491.96x = 42,737.94 × 7,718.52
  4. Step 4: Simplify right side
    28,491.96x = 329,873,644.65
  5. Step 5: Solve for x
    x = 329,873,644.65/28,491.96
  6. Step 6: Final answer
    x = 11,577.78

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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.