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Finding the Fourth Proportional to 8,549.56, 12,790.62 and 6,475.56

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Solution

The fourth proportional to 8,549.56, 12,790.62 and 6,475.56 is: 9,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.56 : 12,790.62 = 6,475.56 : x
  2. Step 2: Convert to fraction form
    8,549.56/12,790.62 = 6,475.56/x
  3. Step 3: Cross multiply
    8,549.56x = 12,790.62 × 6,475.56
  4. Step 4: Simplify right side
    8,549.56x = 82,826,427.25
  5. Step 5: Solve for x
    x = 82,826,427.25/8,549.56
  6. Step 6: Final answer
    x = 9,687.80

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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.