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Finding the Fourth Proportional to 27,116.78, 40,679.22 and 8,398.50

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Solution

The fourth proportional to 27,116.78, 40,679.22 and 8,398.50 is: 12,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,116.78 : 40,679.22 = 8,398.50 : x
  2. Step 2: Convert to fraction form
    27,116.78/40,679.22 = 8,398.50/x
  3. Step 3: Cross multiply
    27,116.78x = 40,679.22 × 8,398.50
  4. Step 4: Simplify right side
    27,116.78x = 341,644,429.17
  5. Step 5: Solve for x
    x = 341,644,429.17/27,116.78
  6. Step 6: Final answer
    x = 12,599.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.