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Finding the Fourth Proportional to 2,155.66, 3,230.73 and 1,876.87

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Solution

The fourth proportional to 2,155.66, 3,230.73 and 1,876.87 is: 2,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.66 : 3,230.73 = 1,876.87 : x
  2. Step 2: Convert to fraction form
    2,155.66/3,230.73 = 1,876.87/x
  3. Step 3: Cross multiply
    2,155.66x = 3,230.73 × 1,876.87
  4. Step 4: Simplify right side
    2,155.66x = 6,063,660.22
  5. Step 5: Solve for x
    x = 6,063,660.22/2,155.66
  6. Step 6: Final answer
    x = 2,812.90

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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.