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Finding the Fourth Proportional to 3,569.72, 4,921.22 and 3,077.60

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Solution

The fourth proportional to 3,569.72, 4,921.22 and 3,077.60 is: 4,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.72 : 4,921.22 = 3,077.60 : x
  2. Step 2: Convert to fraction form
    3,569.72/4,921.22 = 3,077.60/x
  3. Step 3: Cross multiply
    3,569.72x = 4,921.22 × 3,077.60
  4. Step 4: Simplify right side
    3,569.72x = 15,145,546.67
  5. Step 5: Solve for x
    x = 15,145,546.67/3,569.72
  6. Step 6: Final answer
    x = 4,242.78

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1.5x scale

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.