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Finding the Fourth Proportional to 9,867.82, 14,804.25 and 8,115.70

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Solution

The fourth proportional to 9,867.82, 14,804.25 and 8,115.70 is: 12,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.82 : 14,804.25 = 8,115.70 : x
  2. Step 2: Convert to fraction form
    9,867.82/14,804.25 = 8,115.70/x
  3. Step 3: Cross multiply
    9,867.82x = 14,804.25 × 8,115.70
  4. Step 4: Simplify right side
    9,867.82x = 120,146,851.73
  5. Step 5: Solve for x
    x = 120,146,851.73/9,867.82
  6. Step 6: Final answer
    x = 12,175.62

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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.