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Finding the Fourth Proportional to 2,690.25, 4,034.88 and 742.20

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Solution

The fourth proportional to 2,690.25, 4,034.88 and 742.20 is: 1,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.25 : 4,034.88 = 742.20 : x
  2. Step 2: Convert to fraction form
    2,690.25/4,034.88 = 742.20/x
  3. Step 3: Cross multiply
    2,690.25x = 4,034.88 × 742.20
  4. Step 4: Simplify right side
    2,690.25x = 2,994,687.94
  5. Step 5: Solve for x
    x = 2,994,687.94/2,690.25
  6. Step 6: Final answer
    x = 1,113.16

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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.