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Finding the Fourth Proportional to 2,690.28, 4,035.18 and 742.32

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Solution

The fourth proportional to 2,690.28, 4,035.18 and 742.32 is: 1,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.28 : 4,035.18 = 742.32 : x
  2. Step 2: Convert to fraction form
    2,690.28/4,035.18 = 742.32/x
  3. Step 3: Cross multiply
    2,690.28x = 4,035.18 × 742.32
  4. Step 4: Simplify right side
    2,690.28x = 2,995,394.82
  5. Step 5: Solve for x
    x = 2,995,394.82/2,690.28
  6. Step 6: Final answer
    x = 1,113.41

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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.