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Finding the Fourth Proportional to 20,306.76, 30,459.84 and 5,516

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Solution

The fourth proportional to 20,306.76, 30,459.84 and 5,516 is: 8,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.76 : 30,459.84 = 5,516 : x
  2. Step 2: Convert to fraction form
    20,306.76/30,459.84 = 5,516/x
  3. Step 3: Cross multiply
    20,306.76x = 30,459.84 × 5,516
  4. Step 4: Simplify right side
    20,306.76x = 168,016,477.44
  5. Step 5: Solve for x
    x = 168,016,477.44/20,306.76
  6. Step 6: Final answer
    x = 8,273.92

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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.