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Finding the Fourth Proportional to 20,563.76, 30,841.02 and 9,459.79

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Solution

The fourth proportional to 20,563.76, 30,841.02 and 9,459.79 is: 14,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.76 : 30,841.02 = 9,459.79 : x
  2. Step 2: Convert to fraction form
    20,563.76/30,841.02 = 9,459.79/x
  3. Step 3: Cross multiply
    20,563.76x = 30,841.02 × 9,459.79
  4. Step 4: Simplify right side
    20,563.76x = 291,749,572.59
  5. Step 5: Solve for x
    x = 291,749,572.59/20,563.76
  6. Step 6: Final answer
    x = 14,187.56

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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.