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Finding the Fourth Proportional to 3,980.72, 5,975.40 and 2,248.40

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Solution

The fourth proportional to 3,980.72, 5,975.40 and 2,248.40 is: 3,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.72 : 5,975.40 = 2,248.40 : x
  2. Step 2: Convert to fraction form
    3,980.72/5,975.40 = 2,248.40/x
  3. Step 3: Cross multiply
    3,980.72x = 5,975.40 × 2,248.40
  4. Step 4: Simplify right side
    3,980.72x = 13,435,089.36
  5. Step 5: Solve for x
    x = 13,435,089.36/3,980.72
  6. Step 6: Final answer
    x = 3,375.04

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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.