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Finding the Fourth Proportional to 2,690.15, 4,035.32 and 742.50

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Solution

The fourth proportional to 2,690.15, 4,035.32 and 742.50 is: 1,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.15 : 4,035.32 = 742.50 : x
  2. Step 2: Convert to fraction form
    2,690.15/4,035.32 = 742.50/x
  3. Step 3: Cross multiply
    2,690.15x = 4,035.32 × 742.50
  4. Step 4: Simplify right side
    2,690.15x = 2,996,221.39
  5. Step 5: Solve for x
    x = 2,996,221.39/2,690.15
  6. Step 6: Final answer
    x = 1,113.78

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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.