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Finding the Fourth Proportional to 8,202.95, 12,325.68 and 7,165.74

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Solution

The fourth proportional to 8,202.95, 12,325.68 and 7,165.74 is: 10,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.95 : 12,325.68 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    8,202.95/12,325.68 = 7,165.74/x
  3. Step 3: Cross multiply
    8,202.95x = 12,325.68 × 7,165.74
  4. Step 4: Simplify right side
    8,202.95x = 88,322,618.20
  5. Step 5: Solve for x
    x = 88,322,618.20/8,202.95
  6. Step 6: Final answer
    x = 10,767.18

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1.5x scale

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.