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Finding the Fourth Proportional to 9,131.24, 13,697.02 and 2,891

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Solution

The fourth proportional to 9,131.24, 13,697.02 and 2,891 is: 4,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.24 : 13,697.02 = 2,891 : x
  2. Step 2: Convert to fraction form
    9,131.24/13,697.02 = 2,891/x
  3. Step 3: Cross multiply
    9,131.24x = 13,697.02 × 2,891
  4. Step 4: Simplify right side
    9,131.24x = 39,598,084.82
  5. Step 5: Solve for x
    x = 39,598,084.82/9,131.24
  6. Step 6: Final answer
    x = 4,336.55

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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.