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Finding the Fourth Proportional to 1,742.16, 2,612.04 and 876

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Solution

The fourth proportional to 1,742.16, 2,612.04 and 876 is: 1,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.16 : 2,612.04 = 876 : x
  2. Step 2: Convert to fraction form
    1,742.16/2,612.04 = 876/x
  3. Step 3: Cross multiply
    1,742.16x = 2,612.04 × 876
  4. Step 4: Simplify right side
    1,742.16x = 2,288,147.04
  5. Step 5: Solve for x
    x = 2,288,147.04/1,742.16
  6. Step 6: Final answer
    x = 1,313.40

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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.