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Finding the Fourth Proportional to 8,517.66, 12,778 and 2,969.36

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Solution

The fourth proportional to 8,517.66, 12,778 and 2,969.36 is: 4,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.66 : 12,778 = 2,969.36 : x
  2. Step 2: Convert to fraction form
    8,517.66/12,778 = 2,969.36/x
  3. Step 3: Cross multiply
    8,517.66x = 12,778 × 2,969.36
  4. Step 4: Simplify right side
    8,517.66x = 37,942,482.08
  5. Step 5: Solve for x
    x = 37,942,482.08/8,517.66
  6. Step 6: Final answer
    x = 4,454.57

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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.