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Finding the Fourth Proportional to 3,968.32, 5,470.32 and 2,639.20

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Solution

The fourth proportional to 3,968.32, 5,470.32 and 2,639.20 is: 3,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.32 : 5,470.32 = 2,639.20 : x
  2. Step 2: Convert to fraction form
    3,968.32/5,470.32 = 2,639.20/x
  3. Step 3: Cross multiply
    3,968.32x = 5,470.32 × 2,639.20
  4. Step 4: Simplify right side
    3,968.32x = 14,437,268.54
  5. Step 5: Solve for x
    x = 14,437,268.54/3,968.32
  6. Step 6: Final answer
    x = 3,638.13

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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.