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Finding the Fourth Proportional to 6,275.83, 8,657.04 and 3,913.87

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Solution

The fourth proportional to 6,275.83, 8,657.04 and 3,913.87 is: 5,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.83 : 8,657.04 = 3,913.87 : x
  2. Step 2: Convert to fraction form
    6,275.83/8,657.04 = 3,913.87/x
  3. Step 3: Cross multiply
    6,275.83x = 8,657.04 × 3,913.87
  4. Step 4: Simplify right side
    6,275.83x = 33,882,517.29
  5. Step 5: Solve for x
    x = 33,882,517.29/6,275.83
  6. Step 6: Final answer
    x = 5,398.89

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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.