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Finding the Fourth Proportional to 12,874.20, 17,766.09 and 7,285.20

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Solution

The fourth proportional to 12,874.20, 17,766.09 and 7,285.20 is: 10,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.20 : 17,766.09 = 7,285.20 : x
  2. Step 2: Convert to fraction form
    12,874.20/17,766.09 = 7,285.20/x
  3. Step 3: Cross multiply
    12,874.20x = 17,766.09 × 7,285.20
  4. Step 4: Simplify right side
    12,874.20x = 129,429,518.87
  5. Step 5: Solve for x
    x = 129,429,518.87/12,874.20
  6. Step 6: Final answer
    x = 10,053.40

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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.