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Finding the Fourth Proportional to 10,959, 15,123.66 and 5,991

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Solution

The fourth proportional to 10,959, 15,123.66 and 5,991 is: 8,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959 : 15,123.66 = 5,991 : x
  2. Step 2: Convert to fraction form
    10,959/15,123.66 = 5,991/x
  3. Step 3: Cross multiply
    10,959x = 15,123.66 × 5,991
  4. Step 4: Simplify right side
    10,959x = 90,605,847.06
  5. Step 5: Solve for x
    x = 90,605,847.06/10,959
  6. Step 6: Final answer
    x = 8,267.71

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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.