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Finding the Fourth Proportional to 2,100.88, 3,152 and 1,371.88

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Solution

The fourth proportional to 2,100.88, 3,152 and 1,371.88 is: 2,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.88 : 3,152 = 1,371.88 : x
  2. Step 2: Convert to fraction form
    2,100.88/3,152 = 1,371.88/x
  3. Step 3: Cross multiply
    2,100.88x = 3,152 × 1,371.88
  4. Step 4: Simplify right side
    2,100.88x = 4,324,165.76
  5. Step 5: Solve for x
    x = 4,324,165.76/2,100.88
  6. Step 6: Final answer
    x = 2,058.26

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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.