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Finding the Fourth Proportional to 1,874, 2,587.32 and 1,677.17

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Solution

The fourth proportional to 1,874, 2,587.32 and 1,677.17 is: 2,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874 : 2,587.32 = 1,677.17 : x
  2. Step 2: Convert to fraction form
    1,874/2,587.32 = 1,677.17/x
  3. Step 3: Cross multiply
    1,874x = 2,587.32 × 1,677.17
  4. Step 4: Simplify right side
    1,874x = 4,339,375.48
  5. Step 5: Solve for x
    x = 4,339,375.48/1,874
  6. Step 6: Final answer
    x = 2,315.57

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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.