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Finding the Fourth Proportional to 11,981.50, 17,944.90 and 10,580

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Solution

The fourth proportional to 11,981.50, 17,944.90 and 10,580 is: 15,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.50 : 17,944.90 = 10,580 : x
  2. Step 2: Convert to fraction form
    11,981.50/17,944.90 = 10,580/x
  3. Step 3: Cross multiply
    11,981.50x = 17,944.90 × 10,580
  4. Step 4: Simplify right side
    11,981.50x = 189,857,042.00
  5. Step 5: Solve for x
    x = 189,857,042.00/11,981.50
  6. Step 6: Final answer
    x = 15,845.85

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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.