Home / 2,118.60-3,178.41-731.88

Finding the Fourth Proportional to 2,118.60, 3,178.41 and 731.88

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Solution

The fourth proportional to 2,118.60, 3,178.41 and 731.88 is: 1,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.60 : 3,178.41 = 731.88 : x
  2. Step 2: Convert to fraction form
    2,118.60/3,178.41 = 731.88/x
  3. Step 3: Cross multiply
    2,118.60x = 3,178.41 × 731.88
  4. Step 4: Simplify right side
    2,118.60x = 2,326,214.71
  5. Step 5: Solve for x
    x = 2,326,214.71/2,118.60
  6. Step 6: Final answer
    x = 1,098.00

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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.