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Finding the Fourth Proportional to 9,250.80, 12,766 and 5,059

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Solution

The fourth proportional to 9,250.80, 12,766 and 5,059 is: 6,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.80 : 12,766 = 5,059 : x
  2. Step 2: Convert to fraction form
    9,250.80/12,766 = 5,059/x
  3. Step 3: Cross multiply
    9,250.80x = 12,766 × 5,059
  4. Step 4: Simplify right side
    9,250.80x = 64,583,194
  5. Step 5: Solve for x
    x = 64,583,194/9,250.80
  6. Step 6: Final answer
    x = 6,981.36

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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.