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Finding the Fourth Proportional to 2,078.98, 3,118.23 and 763.74

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Solution

The fourth proportional to 2,078.98, 3,118.23 and 763.74 is: 1,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.98 : 3,118.23 = 763.74 : x
  2. Step 2: Convert to fraction form
    2,078.98/3,118.23 = 763.74/x
  3. Step 3: Cross multiply
    2,078.98x = 3,118.23 × 763.74
  4. Step 4: Simplify right side
    2,078.98x = 2,381,516.98
  5. Step 5: Solve for x
    x = 2,381,516.98/2,078.98
  6. Step 6: Final answer
    x = 1,145.52

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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.