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Finding the Fourth Proportional to 1,686.64, 2,327.57 and 940.61

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Solution

The fourth proportional to 1,686.64, 2,327.57 and 940.61 is: 1,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.64 : 2,327.57 = 940.61 : x
  2. Step 2: Convert to fraction form
    1,686.64/2,327.57 = 940.61/x
  3. Step 3: Cross multiply
    1,686.64x = 2,327.57 × 940.61
  4. Step 4: Simplify right side
    1,686.64x = 2,189,335.62
  5. Step 5: Solve for x
    x = 2,189,335.62/1,686.64
  6. Step 6: Final answer
    x = 1,298.05

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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.