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Finding the Fourth Proportional to 3,872.64, 5,772.48 and 3,561.60

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Solution

The fourth proportional to 3,872.64, 5,772.48 and 3,561.60 is: 5,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.64 : 5,772.48 = 3,561.60 : x
  2. Step 2: Convert to fraction form
    3,872.64/5,772.48 = 3,561.60/x
  3. Step 3: Cross multiply
    3,872.64x = 5,772.48 × 3,561.60
  4. Step 4: Simplify right side
    3,872.64x = 20,559,264.77
  5. Step 5: Solve for x
    x = 20,559,264.77/3,872.64
  6. Step 6: Final answer
    x = 5,308.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.