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Finding the Fourth Proportional to 2,874.99, 4,313.10 and 1,558.69

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Solution

The fourth proportional to 2,874.99, 4,313.10 and 1,558.69 is: 2,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.99 : 4,313.10 = 1,558.69 : x
  2. Step 2: Convert to fraction form
    2,874.99/4,313.10 = 1,558.69/x
  3. Step 3: Cross multiply
    2,874.99x = 4,313.10 × 1,558.69
  4. Step 4: Simplify right side
    2,874.99x = 6,722,796.39
  5. Step 5: Solve for x
    x = 6,722,796.39/2,874.99
  6. Step 6: Final answer
    x = 2,338.37

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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.