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Finding the Fourth Proportional to 2,788.70, 4,180.55 and 1,058.54

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Solution

The fourth proportional to 2,788.70, 4,180.55 and 1,058.54 is: 1,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.70 : 4,180.55 = 1,058.54 : x
  2. Step 2: Convert to fraction form
    2,788.70/4,180.55 = 1,058.54/x
  3. Step 3: Cross multiply
    2,788.70x = 4,180.55 × 1,058.54
  4. Step 4: Simplify right side
    2,788.70x = 4,425,253.20
  5. Step 5: Solve for x
    x = 4,425,253.20/2,788.70
  6. Step 6: Final answer
    x = 1,586.85

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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.