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Finding the Fourth Proportional to 3,962.56, 5,471.84 and 2,568.64

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Solution

The fourth proportional to 3,962.56, 5,471.84 and 2,568.64 is: 3,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.56 : 5,471.84 = 2,568.64 : x
  2. Step 2: Convert to fraction form
    3,962.56/5,471.84 = 2,568.64/x
  3. Step 3: Cross multiply
    3,962.56x = 5,471.84 × 2,568.64
  4. Step 4: Simplify right side
    3,962.56x = 14,055,187.10
  5. Step 5: Solve for x
    x = 14,055,187.10/3,962.56
  6. Step 6: Final answer
    x = 3,547.00

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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.