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Finding the Fourth Proportional to 2,689.85, 4,034.78 and 742.05

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Solution

The fourth proportional to 2,689.85, 4,034.78 and 742.05 is: 1,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.85 : 4,034.78 = 742.05 : x
  2. Step 2: Convert to fraction form
    2,689.85/4,034.78 = 742.05/x
  3. Step 3: Cross multiply
    2,689.85x = 4,034.78 × 742.05
  4. Step 4: Simplify right side
    2,689.85x = 2,994,008.50
  5. Step 5: Solve for x
    x = 2,994,008.50/2,689.85
  6. Step 6: Final answer
    x = 1,113.08

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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.