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Finding the Fourth Proportional to 6,424.26, 9,636.42 and 1,981.87

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Solution

The fourth proportional to 6,424.26, 9,636.42 and 1,981.87 is: 2,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.26 : 9,636.42 = 1,981.87 : x
  2. Step 2: Convert to fraction form
    6,424.26/9,636.42 = 1,981.87/x
  3. Step 3: Cross multiply
    6,424.26x = 9,636.42 × 1,981.87
  4. Step 4: Simplify right side
    6,424.26x = 19,098,131.71
  5. Step 5: Solve for x
    x = 19,098,131.71/6,424.26
  6. Step 6: Final answer
    x = 2,972.81

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1.5x scale

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.