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Finding the Fourth Proportional to 2,105.98, 3,158.99 and 545.99

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Solution

The fourth proportional to 2,105.98, 3,158.99 and 545.99 is: 818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.98 : 3,158.99 = 545.99 : x
  2. Step 2: Convert to fraction form
    2,105.98/3,158.99 = 545.99/x
  3. Step 3: Cross multiply
    2,105.98x = 3,158.99 × 545.99
  4. Step 4: Simplify right side
    2,105.98x = 1,724,761.16
  5. Step 5: Solve for x
    x = 1,724,761.16/2,105.98
  6. Step 6: Final answer
    x = 818.98

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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.