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Finding the Fourth Proportional to 20,488.90, 30,733.96 and 8,008.42

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Solution

The fourth proportional to 20,488.90, 30,733.96 and 8,008.42 is: 12,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.90 : 30,733.96 = 8,008.42 : x
  2. Step 2: Convert to fraction form
    20,488.90/30,733.96 = 8,008.42/x
  3. Step 3: Cross multiply
    20,488.90x = 30,733.96 × 8,008.42
  4. Step 4: Simplify right side
    20,488.90x = 246,130,459.94
  5. Step 5: Solve for x
    x = 246,130,459.94/20,488.90
  6. Step 6: Final answer
    x = 12,012.87

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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.