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Finding the Fourth Proportional to 2,874.87, 4,313.16 and 927.03

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Solution

The fourth proportional to 2,874.87, 4,313.16 and 927.03 is: 1,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.87 : 4,313.16 = 927.03 : x
  2. Step 2: Convert to fraction form
    2,874.87/4,313.16 = 927.03/x
  3. Step 3: Cross multiply
    2,874.87x = 4,313.16 × 927.03
  4. Step 4: Simplify right side
    2,874.87x = 3,998,428.71
  5. Step 5: Solve for x
    x = 3,998,428.71/2,874.87
  6. Step 6: Final answer
    x = 1,390.82

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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.