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Finding the Fourth Proportional to 2,874, 4,310.16 and 1,313.18

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Solution

The fourth proportional to 2,874, 4,310.16 and 1,313.18 is: 1,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874 : 4,310.16 = 1,313.18 : x
  2. Step 2: Convert to fraction form
    2,874/4,310.16 = 1,313.18/x
  3. Step 3: Cross multiply
    2,874x = 4,310.16 × 1,313.18
  4. Step 4: Simplify right side
    2,874x = 5,659,994.36
  5. Step 5: Solve for x
    x = 5,659,994.36/2,874
  6. Step 6: Final answer
    x = 1,969.38

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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.