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Finding the Fourth Proportional to 2,047.75, 3,071.77 and 731.77

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Solution

The fourth proportional to 2,047.75, 3,071.77 and 731.77 is: 1,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.75 : 3,071.77 = 731.77 : x
  2. Step 2: Convert to fraction form
    2,047.75/3,071.77 = 731.77/x
  3. Step 3: Cross multiply
    2,047.75x = 3,071.77 × 731.77
  4. Step 4: Simplify right side
    2,047.75x = 2,247,819.62
  5. Step 5: Solve for x
    x = 2,247,819.62/2,047.75
  6. Step 6: Final answer
    x = 1,097.70

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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.