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Finding the Fourth Proportional to 10,638.66, 15,959.66 and 3,241.40

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Solution

The fourth proportional to 10,638.66, 15,959.66 and 3,241.40 is: 4,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.66 : 15,959.66 = 3,241.40 : x
  2. Step 2: Convert to fraction form
    10,638.66/15,959.66 = 3,241.40/x
  3. Step 3: Cross multiply
    10,638.66x = 15,959.66 × 3,241.40
  4. Step 4: Simplify right side
    10,638.66x = 51,731,641.92
  5. Step 5: Solve for x
    x = 51,731,641.92/10,638.66
  6. Step 6: Final answer
    x = 4,862.61

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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.