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Finding the Fourth Proportional to 8,543.86, 12,821.51 and 2,997.23

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Solution

The fourth proportional to 8,543.86, 12,821.51 and 2,997.23 is: 4,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.86 : 12,821.51 = 2,997.23 : x
  2. Step 2: Convert to fraction form
    8,543.86/12,821.51 = 2,997.23/x
  3. Step 3: Cross multiply
    8,543.86x = 12,821.51 × 2,997.23
  4. Step 4: Simplify right side
    8,543.86x = 38,428,957.80
  5. Step 5: Solve for x
    x = 38,428,957.80/8,543.86
  6. Step 6: Final answer
    x = 4,497.85

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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.