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Finding the Fourth Proportional to 4,149, 5,730.48 and 2,749.32

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Solution

The fourth proportional to 4,149, 5,730.48 and 2,749.32 is: 3,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 5,730.48 = 2,749.32 : x
  2. Step 2: Convert to fraction form
    4,149/5,730.48 = 2,749.32/x
  3. Step 3: Cross multiply
    4,149x = 5,730.48 × 2,749.32
  4. Step 4: Simplify right side
    4,149x = 15,754,923.27
  5. Step 5: Solve for x
    x = 15,754,923.27/4,149
  6. Step 6: Final answer
    x = 3,797.28

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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.