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Finding the Fourth Proportional to 1,874.70, 2,587.82 and 1,677.87

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Solution

The fourth proportional to 1,874.70, 2,587.82 and 1,677.87 is: 2,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.70 : 2,587.82 = 1,677.87 : x
  2. Step 2: Convert to fraction form
    1,874.70/2,587.82 = 1,677.87/x
  3. Step 3: Cross multiply
    1,874.70x = 2,587.82 × 1,677.87
  4. Step 4: Simplify right side
    1,874.70x = 4,342,017.15
  5. Step 5: Solve for x
    x = 4,342,017.15/1,874.70
  6. Step 6: Final answer
    x = 2,316.11

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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.