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Finding the Fourth Proportional to 20,737.47, 31,119.11 and 8,425.47

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Solution

The fourth proportional to 20,737.47, 31,119.11 and 8,425.47 is: 12,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.47 : 31,119.11 = 8,425.47 : x
  2. Step 2: Convert to fraction form
    20,737.47/31,119.11 = 8,425.47/x
  3. Step 3: Cross multiply
    20,737.47x = 31,119.11 × 8,425.47
  4. Step 4: Simplify right side
    20,737.47x = 262,193,085.60
  5. Step 5: Solve for x
    x = 262,193,085.60/20,737.47
  6. Step 6: Final answer
    x = 12,643.45

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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.