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Finding the Fourth Proportional to 20,510.59, 30,764.86 and 8,032.90

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Solution

The fourth proportional to 20,510.59, 30,764.86 and 8,032.90 is: 12,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.59 : 30,764.86 = 8,032.90 : x
  2. Step 2: Convert to fraction form
    20,510.59/30,764.86 = 8,032.90/x
  3. Step 3: Cross multiply
    20,510.59x = 30,764.86 × 8,032.90
  4. Step 4: Simplify right side
    20,510.59x = 247,131,043.89
  5. Step 5: Solve for x
    x = 247,131,043.89/20,510.59
  6. Step 6: Final answer
    x = 12,048.95

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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.