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Finding the Fourth Proportional to 2,690.38, 4,035.81 and 742.59

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Solution

The fourth proportional to 2,690.38, 4,035.81 and 742.59 is: 1,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.38 : 4,035.81 = 742.59 : x
  2. Step 2: Convert to fraction form
    2,690.38/4,035.81 = 742.59/x
  3. Step 3: Cross multiply
    2,690.38x = 4,035.81 × 742.59
  4. Step 4: Simplify right side
    2,690.38x = 2,996,941.13
  5. Step 5: Solve for x
    x = 2,996,941.13/2,690.38
  6. Step 6: Final answer
    x = 1,113.95

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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.