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Finding the Fourth Proportional to 2,587.83, 3,881.66 and 856.44

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Solution

The fourth proportional to 2,587.83, 3,881.66 and 856.44 is: 1,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.83 : 3,881.66 = 856.44 : x
  2. Step 2: Convert to fraction form
    2,587.83/3,881.66 = 856.44/x
  3. Step 3: Cross multiply
    2,587.83x = 3,881.66 × 856.44
  4. Step 4: Simplify right side
    2,587.83x = 3,324,404.61
  5. Step 5: Solve for x
    x = 3,324,404.61/2,587.83
  6. Step 6: Final answer
    x = 1,284.63

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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.