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Finding the Fourth Proportional to 2,690.04, 4,034.96 and 742.19

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Solution

The fourth proportional to 2,690.04, 4,034.96 and 742.19 is: 1,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.04 : 4,034.96 = 742.19 : x
  2. Step 2: Convert to fraction form
    2,690.04/4,034.96 = 742.19/x
  3. Step 3: Cross multiply
    2,690.04x = 4,034.96 × 742.19
  4. Step 4: Simplify right side
    2,690.04x = 2,994,713.34
  5. Step 5: Solve for x
    x = 2,994,713.34/2,690.04
  6. Step 6: Final answer
    x = 1,113.26

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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.