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Finding the Fourth Proportional to 3,742.68, 5,615.42 and 1,551.63

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Solution

The fourth proportional to 3,742.68, 5,615.42 and 1,551.63 is: 2,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.68 : 5,615.42 = 1,551.63 : x
  2. Step 2: Convert to fraction form
    3,742.68/5,615.42 = 1,551.63/x
  3. Step 3: Cross multiply
    3,742.68x = 5,615.42 × 1,551.63
  4. Step 4: Simplify right side
    3,742.68x = 8,713,046.38
  5. Step 5: Solve for x
    x = 8,713,046.38/3,742.68
  6. Step 6: Final answer
    x = 2,328.02

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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.