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Finding the Fourth Proportional to 5,145.50, 7,101.60 and 3,049.22

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Solution

The fourth proportional to 5,145.50, 7,101.60 and 3,049.22 is: 4,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.50 : 7,101.60 = 3,049.22 : x
  2. Step 2: Convert to fraction form
    5,145.50/7,101.60 = 3,049.22/x
  3. Step 3: Cross multiply
    5,145.50x = 7,101.60 × 3,049.22
  4. Step 4: Simplify right side
    5,145.50x = 21,654,340.75
  5. Step 5: Solve for x
    x = 21,654,340.75/5,145.50
  6. Step 6: Final answer
    x = 4,208.40

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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.