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Finding the Fourth Proportional to 1,886, 2,829.72 and 731.84

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Solution

The fourth proportional to 1,886, 2,829.72 and 731.84 is: 1,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886 : 2,829.72 = 731.84 : x
  2. Step 2: Convert to fraction form
    1,886/2,829.72 = 731.84/x
  3. Step 3: Cross multiply
    1,886x = 2,829.72 × 731.84
  4. Step 4: Simplify right side
    1,886x = 2,070,902.28
  5. Step 5: Solve for x
    x = 2,070,902.28/1,886
  6. Step 6: Final answer
    x = 1,098.04

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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.