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Finding the Fourth Proportional to 28,369.64, 42,542.15 and 9,644.65

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Solution

The fourth proportional to 28,369.64, 42,542.15 and 9,644.65 is: 14,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,369.64 : 42,542.15 = 9,644.65 : x
  2. Step 2: Convert to fraction form
    28,369.64/42,542.15 = 9,644.65/x
  3. Step 3: Cross multiply
    28,369.64x = 42,542.15 × 9,644.65
  4. Step 4: Simplify right side
    28,369.64x = 410,304,064.75
  5. Step 5: Solve for x
    x = 410,304,064.75/28,369.64
  6. Step 6: Final answer
    x = 14,462.79

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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.