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Finding the Fourth Proportional to 8,277, 11,422.26 and 5,482.50

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Solution

The fourth proportional to 8,277, 11,422.26 and 5,482.50 is: 7,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 11,422.26 = 5,482.50 : x
  2. Step 2: Convert to fraction form
    8,277/11,422.26 = 5,482.50/x
  3. Step 3: Cross multiply
    8,277x = 11,422.26 × 5,482.50
  4. Step 4: Simplify right side
    8,277x = 62,622,540.45
  5. Step 5: Solve for x
    x = 62,622,540.45/8,277
  6. Step 6: Final answer
    x = 7,565.85

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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.