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Finding the Fourth Proportional to 2,351.19, 3,244.50 and 1,288.74

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Solution

The fourth proportional to 2,351.19, 3,244.50 and 1,288.74 is: 1,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.19 : 3,244.50 = 1,288.74 : x
  2. Step 2: Convert to fraction form
    2,351.19/3,244.50 = 1,288.74/x
  3. Step 3: Cross multiply
    2,351.19x = 3,244.50 × 1,288.74
  4. Step 4: Simplify right side
    2,351.19x = 4,181,316.93
  5. Step 5: Solve for x
    x = 4,181,316.93/2,351.19
  6. Step 6: Final answer
    x = 1,778.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.