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Finding the Fourth Proportional to 1,874.83, 2,587.11 and 1,078.11

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Solution

The fourth proportional to 1,874.83, 2,587.11 and 1,078.11 is: 1,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.83 : 2,587.11 = 1,078.11 : x
  2. Step 2: Convert to fraction form
    1,874.83/2,587.11 = 1,078.11/x
  3. Step 3: Cross multiply
    1,874.83x = 2,587.11 × 1,078.11
  4. Step 4: Simplify right side
    1,874.83x = 2,789,185.12
  5. Step 5: Solve for x
    x = 2,789,185.12/1,874.83
  6. Step 6: Final answer
    x = 1,487.70

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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.