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Finding the Fourth Proportional to 3,240, 4,458.24 and 3,149.28

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Solution

The fourth proportional to 3,240, 4,458.24 and 3,149.28 is: 4,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,458.24 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    3,240/4,458.24 = 3,149.28/x
  3. Step 3: Cross multiply
    3,240x = 4,458.24 × 3,149.28
  4. Step 4: Simplify right side
    3,240x = 14,040,246.07
  5. Step 5: Solve for x
    x = 14,040,246.07/3,240
  6. Step 6: Final answer
    x = 4,333.41

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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.