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Finding the Fourth Proportional to 34,242.46, 47,269.14 and 20,818

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Solution

The fourth proportional to 34,242.46, 47,269.14 and 20,818 is: 28,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242.46 : 47,269.14 = 20,818 : x
  2. Step 2: Convert to fraction form
    34,242.46/47,269.14 = 20,818/x
  3. Step 3: Cross multiply
    34,242.46x = 47,269.14 × 20,818
  4. Step 4: Simplify right side
    34,242.46x = 984,048,956.52
  5. Step 5: Solve for x
    x = 984,048,956.52/34,242.46
  6. Step 6: Final answer
    x = 28,737.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.