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Finding the Fourth Proportional to 20,474.52, 30,712.66 and 7,148.86

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Solution

The fourth proportional to 20,474.52, 30,712.66 and 7,148.86 is: 10,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.52 : 30,712.66 = 7,148.86 : x
  2. Step 2: Convert to fraction form
    20,474.52/30,712.66 = 7,148.86/x
  3. Step 3: Cross multiply
    20,474.52x = 30,712.66 × 7,148.86
  4. Step 4: Simplify right side
    20,474.52x = 219,560,317.26
  5. Step 5: Solve for x
    x = 219,560,317.26/20,474.52
  6. Step 6: Final answer
    x = 10,723.59

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1.5x scale

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.