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Finding the Fourth Proportional to 9,182.75, 12,672.24 and 4,991

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Solution

The fourth proportional to 9,182.75, 12,672.24 and 4,991 is: 6,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.75 : 12,672.24 = 4,991 : x
  2. Step 2: Convert to fraction form
    9,182.75/12,672.24 = 4,991/x
  3. Step 3: Cross multiply
    9,182.75x = 12,672.24 × 4,991
  4. Step 4: Simplify right side
    9,182.75x = 63,247,149.84
  5. Step 5: Solve for x
    x = 63,247,149.84/9,182.75
  6. Step 6: Final answer
    x = 6,887.60

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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.