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Finding the Fourth Proportional to 1,587.68, 2,191.16 and 879.61

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Solution

The fourth proportional to 1,587.68, 2,191.16 and 879.61 is: 1,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.68 : 2,191.16 = 879.61 : x
  2. Step 2: Convert to fraction form
    1,587.68/2,191.16 = 879.61/x
  3. Step 3: Cross multiply
    1,587.68x = 2,191.16 × 879.61
  4. Step 4: Simplify right side
    1,587.68x = 1,927,362.97
  5. Step 5: Solve for x
    x = 1,927,362.97/1,587.68
  6. Step 6: Final answer
    x = 1,213.95

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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.