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Finding the Fourth Proportional to 9,217.56, 12,656 and 8,977

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Solution

The fourth proportional to 9,217.56, 12,656 and 8,977 is: 12,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.56 : 12,656 = 8,977 : x
  2. Step 2: Convert to fraction form
    9,217.56/12,656 = 8,977/x
  3. Step 3: Cross multiply
    9,217.56x = 12,656 × 8,977
  4. Step 4: Simplify right side
    9,217.56x = 113,612,912
  5. Step 5: Solve for x
    x = 113,612,912/9,217.56
  6. Step 6: Final answer
    x = 12,325.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.