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Finding the Fourth Proportional to 10,638.04, 15,959 and 3,241.66

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Solution

The fourth proportional to 10,638.04, 15,959 and 3,241.66 is: 4,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.04 : 15,959 = 3,241.66 : x
  2. Step 2: Convert to fraction form
    10,638.04/15,959 = 3,241.66/x
  3. Step 3: Cross multiply
    10,638.04x = 15,959 × 3,241.66
  4. Step 4: Simplify right side
    10,638.04x = 51,733,651.94
  5. Step 5: Solve for x
    x = 51,733,651.94/10,638.04
  6. Step 6: Final answer
    x = 4,863.08

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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.