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Finding the Fourth Proportional to 3,149.82, 4,724.74 and 958.54

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Solution

The fourth proportional to 3,149.82, 4,724.74 and 958.54 is: 1,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.82 : 4,724.74 = 958.54 : x
  2. Step 2: Convert to fraction form
    3,149.82/4,724.74 = 958.54/x
  3. Step 3: Cross multiply
    3,149.82x = 4,724.74 × 958.54
  4. Step 4: Simplify right side
    3,149.82x = 4,528,859.38
  5. Step 5: Solve for x
    x = 4,528,859.38/3,149.82
  6. Step 6: Final answer
    x = 1,437.82

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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.