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Finding the Fourth Proportional to 2,399.74, 3,600.65 and 840.86

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Solution

The fourth proportional to 2,399.74, 3,600.65 and 840.86 is: 1,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.74 : 3,600.65 = 840.86 : x
  2. Step 2: Convert to fraction form
    2,399.74/3,600.65 = 840.86/x
  3. Step 3: Cross multiply
    2,399.74x = 3,600.65 × 840.86
  4. Step 4: Simplify right side
    2,399.74x = 3,027,653.66
  5. Step 5: Solve for x
    x = 3,027,653.66/2,399.74
  6. Step 6: Final answer
    x = 1,261.66

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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.