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Finding the Fourth Proportional to 20,488.70, 30,745.00 and 8,641.74

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Solution

The fourth proportional to 20,488.70, 30,745.00 and 8,641.74 is: 12,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.70 : 30,745.00 = 8,641.74 : x
  2. Step 2: Convert to fraction form
    20,488.70/30,745.00 = 8,641.74/x
  3. Step 3: Cross multiply
    20,488.70x = 30,745.00 × 8,641.74
  4. Step 4: Simplify right side
    20,488.70x = 265,690,422.40
  5. Step 5: Solve for x
    x = 265,690,422.40/20,488.70
  6. Step 6: Final answer
    x = 12,967.65

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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.