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Finding the Fourth Proportional to 6,480.43, 9,718.26 and 5,096.47

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Solution

The fourth proportional to 6,480.43, 9,718.26 and 5,096.47 is: 7,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.43 : 9,718.26 = 5,096.47 : x
  2. Step 2: Convert to fraction form
    6,480.43/9,718.26 = 5,096.47/x
  3. Step 3: Cross multiply
    6,480.43x = 9,718.26 × 5,096.47
  4. Step 4: Simplify right side
    6,480.43x = 49,528,820.54
  5. Step 5: Solve for x
    x = 49,528,820.54/6,480.43
  6. Step 6: Final answer
    x = 7,642.83

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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.