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Finding the Fourth Proportional to 2,400.49, 3,601.06 and 840.07

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Solution

The fourth proportional to 2,400.49, 3,601.06 and 840.07 is: 1,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.49 : 3,601.06 = 840.07 : x
  2. Step 2: Convert to fraction form
    2,400.49/3,601.06 = 840.07/x
  3. Step 3: Cross multiply
    2,400.49x = 3,601.06 × 840.07
  4. Step 4: Simplify right side
    2,400.49x = 3,025,144.88
  5. Step 5: Solve for x
    x = 3,025,144.88/2,400.49
  6. Step 6: Final answer
    x = 1,260.22

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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.