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Finding the Fourth Proportional to 26,681.32, 40,024 and 7,959.88

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Solution

The fourth proportional to 26,681.32, 40,024 and 7,959.88 is: 11,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,681.32 : 40,024 = 7,959.88 : x
  2. Step 2: Convert to fraction form
    26,681.32/40,024 = 7,959.88/x
  3. Step 3: Cross multiply
    26,681.32x = 40,024 × 7,959.88
  4. Step 4: Simplify right side
    26,681.32x = 318,586,237.12
  5. Step 5: Solve for x
    x = 318,586,237.12/26,681.32
  6. Step 6: Final answer
    x = 11,940.42

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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.