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Finding the Fourth Proportional to 14,750, 20,372.28 and 9,773.36

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Solution

The fourth proportional to 14,750, 20,372.28 and 9,773.36 is: 13,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750 : 20,372.28 = 9,773.36 : x
  2. Step 2: Convert to fraction form
    14,750/20,372.28 = 9,773.36/x
  3. Step 3: Cross multiply
    14,750x = 20,372.28 × 9,773.36
  4. Step 4: Simplify right side
    14,750x = 199,105,626.46
  5. Step 5: Solve for x
    x = 199,105,626.46/14,750
  6. Step 6: Final answer
    x = 13,498.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.