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Finding the Fourth Proportional to 3,871.99, 5,803.13 and 2,313.15

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Solution

The fourth proportional to 3,871.99, 5,803.13 and 2,313.15 is: 3,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.99 : 5,803.13 = 2,313.15 : x
  2. Step 2: Convert to fraction form
    3,871.99/5,803.13 = 2,313.15/x
  3. Step 3: Cross multiply
    3,871.99x = 5,803.13 × 2,313.15
  4. Step 4: Simplify right side
    3,871.99x = 13,423,469.58
  5. Step 5: Solve for x
    x = 13,423,469.58/3,871.99
  6. Step 6: Final answer
    x = 3,466.81

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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.