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Finding the Fourth Proportional to 3,792, 5,232.16 and 2,219.76

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Solution

The fourth proportional to 3,792, 5,232.16 and 2,219.76 is: 3,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,232.16 = 2,219.76 : x
  2. Step 2: Convert to fraction form
    3,792/5,232.16 = 2,219.76/x
  3. Step 3: Cross multiply
    3,792x = 5,232.16 × 2,219.76
  4. Step 4: Simplify right side
    3,792x = 11,614,139.48
  5. Step 5: Solve for x
    x = 11,614,139.48/3,792
  6. Step 6: Final answer
    x = 3,062.80

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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.