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Finding the Fourth Proportional to 10,949, 15,109.62 and 5,981

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Solution

The fourth proportional to 10,949, 15,109.62 and 5,981 is: 8,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 15,109.62 = 5,981 : x
  2. Step 2: Convert to fraction form
    10,949/15,109.62 = 5,981/x
  3. Step 3: Cross multiply
    10,949x = 15,109.62 × 5,981
  4. Step 4: Simplify right side
    10,949x = 90,370,637.22
  5. Step 5: Solve for x
    x = 90,370,637.22/10,949
  6. Step 6: Final answer
    x = 8,253.78

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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.