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Finding the Fourth Proportional to 6,412.56, 9,612.48 and 2,717.28

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Solution

The fourth proportional to 6,412.56, 9,612.48 and 2,717.28 is: 4,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.56 : 9,612.48 = 2,717.28 : x
  2. Step 2: Convert to fraction form
    6,412.56/9,612.48 = 2,717.28/x
  3. Step 3: Cross multiply
    6,412.56x = 9,612.48 × 2,717.28
  4. Step 4: Simplify right side
    6,412.56x = 26,119,799.65
  5. Step 5: Solve for x
    x = 26,119,799.65/6,412.56
  6. Step 6: Final answer
    x = 4,073.22

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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.