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Finding the Fourth Proportional to 20,513.50, 30,773.22 and 6,468.76

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Solution

The fourth proportional to 20,513.50, 30,773.22 and 6,468.76 is: 9,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.50 : 30,773.22 = 6,468.76 : x
  2. Step 2: Convert to fraction form
    20,513.50/30,773.22 = 6,468.76/x
  3. Step 3: Cross multiply
    20,513.50x = 30,773.22 × 6,468.76
  4. Step 4: Simplify right side
    20,513.50x = 199,064,574.61
  5. Step 5: Solve for x
    x = 199,064,574.61/20,513.50
  6. Step 6: Final answer
    x = 9,704.08

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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.