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Finding the Fourth Proportional to 3,129.28, 4,693.28 and 1,829.76

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Solution

The fourth proportional to 3,129.28, 4,693.28 and 1,829.76 is: 2,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.28 : 4,693.28 = 1,829.76 : x
  2. Step 2: Convert to fraction form
    3,129.28/4,693.28 = 1,829.76/x
  3. Step 3: Cross multiply
    3,129.28x = 4,693.28 × 1,829.76
  4. Step 4: Simplify right side
    3,129.28x = 8,587,576.01
  5. Step 5: Solve for x
    x = 8,587,576.01/3,129.28
  6. Step 6: Final answer
    x = 2,744.27

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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.