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Finding the Fourth Proportional to 2,587.38, 3,881.13 and 856

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Solution

The fourth proportional to 2,587.38, 3,881.13 and 856 is: 1,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.38 : 3,881.13 = 856 : x
  2. Step 2: Convert to fraction form
    2,587.38/3,881.13 = 856/x
  3. Step 3: Cross multiply
    2,587.38x = 3,881.13 × 856
  4. Step 4: Simplify right side
    2,587.38x = 3,322,247.28
  5. Step 5: Solve for x
    x = 3,322,247.28/2,587.38
  6. Step 6: Final answer
    x = 1,284.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.