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Finding the Fourth Proportional to 3,149.31, 4,724.13 and 958.05

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Solution

The fourth proportional to 3,149.31, 4,724.13 and 958.05 is: 1,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.31 : 4,724.13 = 958.05 : x
  2. Step 2: Convert to fraction form
    3,149.31/4,724.13 = 958.05/x
  3. Step 3: Cross multiply
    3,149.31x = 4,724.13 × 958.05
  4. Step 4: Simplify right side
    3,149.31x = 4,525,952.75
  5. Step 5: Solve for x
    x = 4,525,952.75/3,149.31
  6. Step 6: Final answer
    x = 1,437.13

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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.