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Finding the Fourth Proportional to 1,885.20, 2,826.36 and 731.76

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Solution

The fourth proportional to 1,885.20, 2,826.36 and 731.76 is: 1,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.20 : 2,826.36 = 731.76 : x
  2. Step 2: Convert to fraction form
    1,885.20/2,826.36 = 731.76/x
  3. Step 3: Cross multiply
    1,885.20x = 2,826.36 × 731.76
  4. Step 4: Simplify right side
    1,885.20x = 2,068,217.19
  5. Step 5: Solve for x
    x = 2,068,217.19/1,885.20
  6. Step 6: Final answer
    x = 1,097.08

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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.