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Finding the Fourth Proportional to 3,149.79, 4,724.76 and 958.50

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Solution

The fourth proportional to 3,149.79, 4,724.76 and 958.50 is: 1,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.79 : 4,724.76 = 958.50 : x
  2. Step 2: Convert to fraction form
    3,149.79/4,724.76 = 958.50/x
  3. Step 3: Cross multiply
    3,149.79x = 4,724.76 × 958.50
  4. Step 4: Simplify right side
    3,149.79x = 4,528,686.05
  5. Step 5: Solve for x
    x = 4,528,686.05/3,149.79
  6. Step 6: Final answer
    x = 1,437.78

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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.