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Finding the Fourth Proportional to 6,479.56, 9,721.02 and 2,781.16

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Solution

The fourth proportional to 6,479.56, 9,721.02 and 2,781.16 is: 4,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.56 : 9,721.02 = 2,781.16 : x
  2. Step 2: Convert to fraction form
    6,479.56/9,721.02 = 2,781.16/x
  3. Step 3: Cross multiply
    6,479.56x = 9,721.02 × 2,781.16
  4. Step 4: Simplify right side
    6,479.56x = 27,035,711.98
  5. Step 5: Solve for x
    x = 27,035,711.98/6,479.56
  6. Step 6: Final answer
    x = 4,172.46

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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.