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Finding the Fourth Proportional to 6,480.81, 9,721.62 and 2,098.71

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Solution

The fourth proportional to 6,480.81, 9,721.62 and 2,098.71 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.81 : 9,721.62 = 2,098.71 : x
  2. Step 2: Convert to fraction form
    6,480.81/9,721.62 = 2,098.71/x
  3. Step 3: Cross multiply
    6,480.81x = 9,721.62 × 2,098.71
  4. Step 4: Simplify right side
    6,480.81x = 20,402,861.11
  5. Step 5: Solve for x
    x = 20,402,861.11/6,480.81
  6. Step 6: Final answer
    x = 3,148.20

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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.