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Finding the Fourth Proportional to 2,400.90, 3,601.23 and 840.42

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Solution

The fourth proportional to 2,400.90, 3,601.23 and 840.42 is: 1,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.90 : 3,601.23 = 840.42 : x
  2. Step 2: Convert to fraction form
    2,400.90/3,601.23 = 840.42/x
  3. Step 3: Cross multiply
    2,400.90x = 3,601.23 × 840.42
  4. Step 4: Simplify right side
    2,400.90x = 3,026,545.72
  5. Step 5: Solve for x
    x = 3,026,545.72/2,400.90
  6. Step 6: Final answer
    x = 1,260.59

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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.