Home / 2,105.13-3,157.68-545.14

Finding the Fourth Proportional to 2,105.13, 3,157.68 and 545.14

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Solution

The fourth proportional to 2,105.13, 3,157.68 and 545.14 is: 817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.13 : 3,157.68 = 545.14 : x
  2. Step 2: Convert to fraction form
    2,105.13/3,157.68 = 545.14/x
  3. Step 3: Cross multiply
    2,105.13x = 3,157.68 × 545.14
  4. Step 4: Simplify right side
    2,105.13x = 1,721,366.40
  5. Step 5: Solve for x
    x = 1,721,366.40/2,105.13
  6. Step 6: Final answer
    x = 817.70

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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.