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Finding the Fourth Proportional to 2,047.21, 3,070.82 and 747.97

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Solution

The fourth proportional to 2,047.21, 3,070.82 and 747.97 is: 1,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.21 : 3,070.82 = 747.97 : x
  2. Step 2: Convert to fraction form
    2,047.21/3,070.82 = 747.97/x
  3. Step 3: Cross multiply
    2,047.21x = 3,070.82 × 747.97
  4. Step 4: Simplify right side
    2,047.21x = 2,296,877.50
  5. Step 5: Solve for x
    x = 2,296,877.50/2,047.21
  6. Step 6: Final answer
    x = 1,121.96

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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.