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Finding the Fourth Proportional to 6,508.47, 8,981.63 and 3,857.14

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Solution

The fourth proportional to 6,508.47, 8,981.63 and 3,857.14 is: 5,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.47 : 8,981.63 = 3,857.14 : x
  2. Step 2: Convert to fraction form
    6,508.47/8,981.63 = 3,857.14/x
  3. Step 3: Cross multiply
    6,508.47x = 8,981.63 × 3,857.14
  4. Step 4: Simplify right side
    6,508.47x = 34,643,404.34
  5. Step 5: Solve for x
    x = 34,643,404.34/6,508.47
  6. Step 6: Final answer
    x = 5,322.82

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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.