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Finding the Fourth Proportional to 2,876.78, 4,313.10 and 1,644.77

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Solution

The fourth proportional to 2,876.78, 4,313.10 and 1,644.77 is: 2,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.78 : 4,313.10 = 1,644.77 : x
  2. Step 2: Convert to fraction form
    2,876.78/4,313.10 = 1,644.77/x
  3. Step 3: Cross multiply
    2,876.78x = 4,313.10 × 1,644.77
  4. Step 4: Simplify right side
    2,876.78x = 7,094,057.49
  5. Step 5: Solve for x
    x = 7,094,057.49/2,876.78
  6. Step 6: Final answer
    x = 2,465.97

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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.