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Finding the Fourth Proportional to 3,860.68, 5,791.56 and 1,552

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Solution

The fourth proportional to 3,860.68, 5,791.56 and 1,552 is: 2,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.68 : 5,791.56 = 1,552 : x
  2. Step 2: Convert to fraction form
    3,860.68/5,791.56 = 1,552/x
  3. Step 3: Cross multiply
    3,860.68x = 5,791.56 × 1,552
  4. Step 4: Simplify right side
    3,860.68x = 8,988,501.12
  5. Step 5: Solve for x
    x = 8,988,501.12/3,860.68
  6. Step 6: Final answer
    x = 2,328.22

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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.