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Finding the Fourth Proportional to 3,002.96, 4,143.92 and 1,658.60

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Solution

The fourth proportional to 3,002.96, 4,143.92 and 1,658.60 is: 2,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.96 : 4,143.92 = 1,658.60 : x
  2. Step 2: Convert to fraction form
    3,002.96/4,143.92 = 1,658.60/x
  3. Step 3: Cross multiply
    3,002.96x = 4,143.92 × 1,658.60
  4. Step 4: Simplify right side
    3,002.96x = 6,873,105.71
  5. Step 5: Solve for x
    x = 6,873,105.71/3,002.96
  6. Step 6: Final answer
    x = 2,288.78

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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.