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Finding the Fourth Proportional to 6,340.68, 8,748 and 3,685.91

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Solution

The fourth proportional to 6,340.68, 8,748 and 3,685.91 is: 5,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.68 : 8,748 = 3,685.91 : x
  2. Step 2: Convert to fraction form
    6,340.68/8,748 = 3,685.91/x
  3. Step 3: Cross multiply
    6,340.68x = 8,748 × 3,685.91
  4. Step 4: Simplify right side
    6,340.68x = 32,244,296.94
  5. Step 5: Solve for x
    x = 32,244,296.94/6,340.68
  6. Step 6: Final answer
    x = 5,085.31

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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.