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Finding the Fourth Proportional to 3,968.64, 5,955.84 and 2,876.64

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Solution

The fourth proportional to 3,968.64, 5,955.84 and 2,876.64 is: 4,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.64 : 5,955.84 = 2,876.64 : x
  2. Step 2: Convert to fraction form
    3,968.64/5,955.84 = 2,876.64/x
  3. Step 3: Cross multiply
    3,968.64x = 5,955.84 × 2,876.64
  4. Step 4: Simplify right side
    3,968.64x = 17,132,807.58
  5. Step 5: Solve for x
    x = 17,132,807.58/3,968.64
  6. Step 6: Final answer
    x = 4,317.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.