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Finding the Fourth Proportional to 3,778.56, 5,220.16 and 3,024

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Solution

The fourth proportional to 3,778.56, 5,220.16 and 3,024 is: 4,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,220.16 = 3,024 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,220.16 = 3,024/x
  3. Step 3: Cross multiply
    3,778.56x = 5,220.16 × 3,024
  4. Step 4: Simplify right side
    3,778.56x = 15,785,763.84
  5. Step 5: Solve for x
    x = 15,785,763.84/3,778.56
  6. Step 6: Final answer
    x = 4,177.72

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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.