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Finding the Fourth Proportional to 28,272.29, 42,408 and 9,565.47

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Solution

The fourth proportional to 28,272.29, 42,408 and 9,565.47 is: 14,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,272.29 : 42,408 = 9,565.47 : x
  2. Step 2: Convert to fraction form
    28,272.29/42,408 = 9,565.47/x
  3. Step 3: Cross multiply
    28,272.29x = 42,408 × 9,565.47
  4. Step 4: Simplify right side
    28,272.29x = 405,652,451.76
  5. Step 5: Solve for x
    x = 405,652,451.76/28,272.29
  6. Step 6: Final answer
    x = 14,348.06

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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.