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Finding the Fourth Proportional to 2,124.92, 3,183.70 and 1,151.70

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Solution

The fourth proportional to 2,124.92, 3,183.70 and 1,151.70 is: 1,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.92 : 3,183.70 = 1,151.70 : x
  2. Step 2: Convert to fraction form
    2,124.92/3,183.70 = 1,151.70/x
  3. Step 3: Cross multiply
    2,124.92x = 3,183.70 × 1,151.70
  4. Step 4: Simplify right side
    2,124.92x = 3,666,667.29
  5. Step 5: Solve for x
    x = 3,666,667.29/2,124.92
  6. Step 6: Final answer
    x = 1,725.56

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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.