Home / 1,587.31-2,381.12-547.17

Finding the Fourth Proportional to 1,587.31, 2,381.12 and 547.17

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Solution

The fourth proportional to 1,587.31, 2,381.12 and 547.17 is: 820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.31 : 2,381.12 = 547.17 : x
  2. Step 2: Convert to fraction form
    1,587.31/2,381.12 = 547.17/x
  3. Step 3: Cross multiply
    1,587.31x = 2,381.12 × 547.17
  4. Step 4: Simplify right side
    1,587.31x = 1,302,874.69
  5. Step 5: Solve for x
    x = 1,302,874.69/1,587.31
  6. Step 6: Final answer
    x = 820.81

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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.