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Finding the Fourth Proportional to 5,691.50, 8,538.51 and 1,742.79

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Solution

The fourth proportional to 5,691.50, 8,538.51 and 1,742.79 is: 2,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.50 : 8,538.51 = 1,742.79 : x
  2. Step 2: Convert to fraction form
    5,691.50/8,538.51 = 1,742.79/x
  3. Step 3: Cross multiply
    5,691.50x = 8,538.51 × 1,742.79
  4. Step 4: Simplify right side
    5,691.50x = 14,880,825.49
  5. Step 5: Solve for x
    x = 14,880,825.49/5,691.50
  6. Step 6: Final answer
    x = 2,614.57

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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.