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Finding the Fourth Proportional to 28,327.72, 42,498 and 9,353.68

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Solution

The fourth proportional to 28,327.72, 42,498 and 9,353.68 is: 14,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,327.72 : 42,498 = 9,353.68 : x
  2. Step 2: Convert to fraction form
    28,327.72/42,498 = 9,353.68/x
  3. Step 3: Cross multiply
    28,327.72x = 42,498 × 9,353.68
  4. Step 4: Simplify right side
    28,327.72x = 397,512,692.64
  5. Step 5: Solve for x
    x = 397,512,692.64/28,327.72
  6. Step 6: Final answer
    x = 14,032.64

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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.