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Finding the Fourth Proportional to 3,202.56, 4,777.24 and 3,149.76

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Solution

The fourth proportional to 3,202.56, 4,777.24 and 3,149.76 is: 4,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,777.24 = 3,149.76 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,777.24 = 3,149.76/x
  3. Step 3: Cross multiply
    3,202.56x = 4,777.24 × 3,149.76
  4. Step 4: Simplify right side
    3,202.56x = 15,047,159.46
  5. Step 5: Solve for x
    x = 15,047,159.46/3,202.56
  6. Step 6: Final answer
    x = 4,698.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.