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Finding the Fourth Proportional to 6,397.86, 8,825.48 and 3,744.76

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Solution

The fourth proportional to 6,397.86, 8,825.48 and 3,744.76 is: 5,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.86 : 8,825.48 = 3,744.76 : x
  2. Step 2: Convert to fraction form
    6,397.86/8,825.48 = 3,744.76/x
  3. Step 3: Cross multiply
    6,397.86x = 8,825.48 × 3,744.76
  4. Step 4: Simplify right side
    6,397.86x = 33,049,280.00
  5. Step 5: Solve for x
    x = 33,049,280.00/6,397.86
  6. Step 6: Final answer
    x = 5,165.68

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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.