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Finding the Fourth Proportional to 3,189.34, 4,401.12 and 1,792

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Solution

The fourth proportional to 3,189.34, 4,401.12 and 1,792 is: 2,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.34 : 4,401.12 = 1,792 : x
  2. Step 2: Convert to fraction form
    3,189.34/4,401.12 = 1,792/x
  3. Step 3: Cross multiply
    3,189.34x = 4,401.12 × 1,792
  4. Step 4: Simplify right side
    3,189.34x = 7,886,807.04
  5. Step 5: Solve for x
    x = 7,886,807.04/3,189.34
  6. Step 6: Final answer
    x = 2,472.86

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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.