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Finding the Fourth Proportional to 2,105.92, 3,158.76 and 545.92

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Solution

The fourth proportional to 2,105.92, 3,158.76 and 545.92 is: 818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.92 : 3,158.76 = 545.92 : x
  2. Step 2: Convert to fraction form
    2,105.92/3,158.76 = 545.92/x
  3. Step 3: Cross multiply
    2,105.92x = 3,158.76 × 545.92
  4. Step 4: Simplify right side
    2,105.92x = 1,724,430.26
  5. Step 5: Solve for x
    x = 1,724,430.26/2,105.92
  6. Step 6: Final answer
    x = 818.85

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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.