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Finding the Fourth Proportional to 2,660.98, 3,994.26 and 1,275.49

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Solution

The fourth proportional to 2,660.98, 3,994.26 and 1,275.49 is: 1,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.98 : 3,994.26 = 1,275.49 : x
  2. Step 2: Convert to fraction form
    2,660.98/3,994.26 = 1,275.49/x
  3. Step 3: Cross multiply
    2,660.98x = 3,994.26 × 1,275.49
  4. Step 4: Simplify right side
    2,660.98x = 5,094,638.69
  5. Step 5: Solve for x
    x = 5,094,638.69/2,660.98
  6. Step 6: Final answer
    x = 1,914.57

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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.