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Finding the Fourth Proportional to 12,143.87, 16,758.09 and 6,766.18

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Solution

The fourth proportional to 12,143.87, 16,758.09 and 6,766.18 is: 9,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.87 : 16,758.09 = 6,766.18 : x
  2. Step 2: Convert to fraction form
    12,143.87/16,758.09 = 6,766.18/x
  3. Step 3: Cross multiply
    12,143.87x = 16,758.09 × 6,766.18
  4. Step 4: Simplify right side
    12,143.87x = 113,388,253.40
  5. Step 5: Solve for x
    x = 113,388,253.40/12,143.87
  6. Step 6: Final answer
    x = 9,337.08

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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.