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Finding the Fourth Proportional to 12,761.70, 19,147.95 and 8,085.30

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Solution

The fourth proportional to 12,761.70, 19,147.95 and 8,085.30 is: 12,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.70 : 19,147.95 = 8,085.30 : x
  2. Step 2: Convert to fraction form
    12,761.70/19,147.95 = 8,085.30/x
  3. Step 3: Cross multiply
    12,761.70x = 19,147.95 × 8,085.30
  4. Step 4: Simplify right side
    12,761.70x = 154,816,920.14
  5. Step 5: Solve for x
    x = 154,816,920.14/12,761.70
  6. Step 6: Final answer
    x = 12,131.37

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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.