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Finding the Fourth Proportional to 21,157.92, 31,737 and 6,366.96

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Solution

The fourth proportional to 21,157.92, 31,737 and 6,366.96 is: 9,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.92 : 31,737 = 6,366.96 : x
  2. Step 2: Convert to fraction form
    21,157.92/31,737 = 6,366.96/x
  3. Step 3: Cross multiply
    21,157.92x = 31,737 × 6,366.96
  4. Step 4: Simplify right side
    21,157.92x = 202,068,209.52
  5. Step 5: Solve for x
    x = 202,068,209.52/21,157.92
  6. Step 6: Final answer
    x = 9,550.48

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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.