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Finding the Fourth Proportional to 2,452, 3,381.36 and 1,567.48

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Solution

The fourth proportional to 2,452, 3,381.36 and 1,567.48 is: 2,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,381.36 = 1,567.48 : x
  2. Step 2: Convert to fraction form
    2,452/3,381.36 = 1,567.48/x
  3. Step 3: Cross multiply
    2,452x = 3,381.36 × 1,567.48
  4. Step 4: Simplify right side
    2,452x = 5,300,214.17
  5. Step 5: Solve for x
    x = 5,300,214.17/2,452
  6. Step 6: Final answer
    x = 2,161.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.