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Finding the Fourth Proportional to 2,874.33, 4,310.13 and 1,313.87

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Solution

The fourth proportional to 2,874.33, 4,310.13 and 1,313.87 is: 1,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.33 : 4,310.13 = 1,313.87 : x
  2. Step 2: Convert to fraction form
    2,874.33/4,310.13 = 1,313.87/x
  3. Step 3: Cross multiply
    2,874.33x = 4,310.13 × 1,313.87
  4. Step 4: Simplify right side
    2,874.33x = 5,662,928.95
  5. Step 5: Solve for x
    x = 5,662,928.95/2,874.33
  6. Step 6: Final answer
    x = 1,970.17

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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.