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Finding the Fourth Proportional to 2,110, 3,165.72 and 742

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Solution

The fourth proportional to 2,110, 3,165.72 and 742 is: 1,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 3,165.72 = 742 : x
  2. Step 2: Convert to fraction form
    2,110/3,165.72 = 742/x
  3. Step 3: Cross multiply
    2,110x = 3,165.72 × 742
  4. Step 4: Simplify right side
    2,110x = 2,348,964.24
  5. Step 5: Solve for x
    x = 2,348,964.24/2,110
  6. Step 6: Final answer
    x = 1,113.25

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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.