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Finding the Fourth Proportional to 6,397.52, 8,821.30 and 5,214.92

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Solution

The fourth proportional to 6,397.52, 8,821.30 and 5,214.92 is: 7,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.52 : 8,821.30 = 5,214.92 : x
  2. Step 2: Convert to fraction form
    6,397.52/8,821.30 = 5,214.92/x
  3. Step 3: Cross multiply
    6,397.52x = 8,821.30 × 5,214.92
  4. Step 4: Simplify right side
    6,397.52x = 46,002,373.80
  5. Step 5: Solve for x
    x = 46,002,373.80/6,397.52
  6. Step 6: Final answer
    x = 7,190.66

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1.5x scale

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.