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Finding the Fourth Proportional to 6,312.66, 8,711.31 and 3,659.91

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Solution

The fourth proportional to 6,312.66, 8,711.31 and 3,659.91 is: 5,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.66 : 8,711.31 = 3,659.91 : x
  2. Step 2: Convert to fraction form
    6,312.66/8,711.31 = 3,659.91/x
  3. Step 3: Cross multiply
    6,312.66x = 8,711.31 × 3,659.91
  4. Step 4: Simplify right side
    6,312.66x = 31,882,610.58
  5. Step 5: Solve for x
    x = 31,882,610.58/6,312.66
  6. Step 6: Final answer
    x = 5,050.58

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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.