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Finding the Fourth Proportional to 11,591.13, 15,993.06 and 7,821.29

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Solution

The fourth proportional to 11,591.13, 15,993.06 and 7,821.29 is: 10,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.13 : 15,993.06 = 7,821.29 : x
  2. Step 2: Convert to fraction form
    11,591.13/15,993.06 = 7,821.29/x
  3. Step 3: Cross multiply
    11,591.13x = 15,993.06 × 7,821.29
  4. Step 4: Simplify right side
    11,591.13x = 125,086,280.28
  5. Step 5: Solve for x
    x = 125,086,280.28/11,591.13
  6. Step 6: Final answer
    x = 10,791.55

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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.