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Finding the Fourth Proportional to 6,508.71, 8,983.17 and 3,857.58

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Solution

The fourth proportional to 6,508.71, 8,983.17 and 3,857.58 is: 5,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.71 : 8,983.17 = 3,857.58 : x
  2. Step 2: Convert to fraction form
    6,508.71/8,983.17 = 3,857.58/x
  3. Step 3: Cross multiply
    6,508.71x = 8,983.17 × 3,857.58
  4. Step 4: Simplify right side
    6,508.71x = 34,653,296.93
  5. Step 5: Solve for x
    x = 34,653,296.93/6,508.71
  6. Step 6: Final answer
    x = 5,324.14

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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.