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Finding the Fourth Proportional to 2,587.78, 3,878.18 and 1,855.74

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Solution

The fourth proportional to 2,587.78, 3,878.18 and 1,855.74 is: 2,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.78 : 3,878.18 = 1,855.74 : x
  2. Step 2: Convert to fraction form
    2,587.78/3,878.18 = 1,855.74/x
  3. Step 3: Cross multiply
    2,587.78x = 3,878.18 × 1,855.74
  4. Step 4: Simplify right side
    2,587.78x = 7,196,893.75
  5. Step 5: Solve for x
    x = 7,196,893.75/2,587.78
  6. Step 6: Final answer
    x = 2,781.11

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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.