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Finding the Fourth Proportional to 9,981.69, 13,772.19 and 7,324.48

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Solution

The fourth proportional to 9,981.69, 13,772.19 and 7,324.48 is: 10,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.69 : 13,772.19 = 7,324.48 : x
  2. Step 2: Convert to fraction form
    9,981.69/13,772.19 = 7,324.48/x
  3. Step 3: Cross multiply
    9,981.69x = 13,772.19 × 7,324.48
  4. Step 4: Simplify right side
    9,981.69x = 100,874,130.21
  5. Step 5: Solve for x
    x = 100,874,130.21/9,981.69
  6. Step 6: Final answer
    x = 10,105.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.