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Finding the Fourth Proportional to 6,872.01, 10,312.47 and 2,489.10

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Solution

The fourth proportional to 6,872.01, 10,312.47 and 2,489.10 is: 3,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.01 : 10,312.47 = 2,489.10 : x
  2. Step 2: Convert to fraction form
    6,872.01/10,312.47 = 2,489.10/x
  3. Step 3: Cross multiply
    6,872.01x = 10,312.47 × 2,489.10
  4. Step 4: Simplify right side
    6,872.01x = 25,668,769.08
  5. Step 5: Solve for x
    x = 25,668,769.08/6,872.01
  6. Step 6: Final answer
    x = 3,735.26

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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.