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Finding the Fourth Proportional to 8,167.17, 11,277.05 and 6,275.76

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Solution

The fourth proportional to 8,167.17, 11,277.05 and 6,275.76 is: 8,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.17 : 11,277.05 = 6,275.76 : x
  2. Step 2: Convert to fraction form
    8,167.17/11,277.05 = 6,275.76/x
  3. Step 3: Cross multiply
    8,167.17x = 11,277.05 × 6,275.76
  4. Step 4: Simplify right side
    8,167.17x = 70,772,059.31
  5. Step 5: Solve for x
    x = 70,772,059.31/8,167.17
  6. Step 6: Final answer
    x = 8,665.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.