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Finding the Fourth Proportional to 10,689.78, 14,751.84 and 5,974.02

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Solution

The fourth proportional to 10,689.78, 14,751.84 and 5,974.02 is: 8,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.78 : 14,751.84 = 5,974.02 : x
  2. Step 2: Convert to fraction form
    10,689.78/14,751.84 = 5,974.02/x
  3. Step 3: Cross multiply
    10,689.78x = 14,751.84 × 5,974.02
  4. Step 4: Simplify right side
    10,689.78x = 88,127,787.20
  5. Step 5: Solve for x
    x = 88,127,787.20/10,689.78
  6. Step 6: Final answer
    x = 8,244.12

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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.