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Finding the Fourth Proportional to 5,871.65, 8,102.74 and 3,218.99

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Solution

The fourth proportional to 5,871.65, 8,102.74 and 3,218.99 is: 4,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.65 : 8,102.74 = 3,218.99 : x
  2. Step 2: Convert to fraction form
    5,871.65/8,102.74 = 3,218.99/x
  3. Step 3: Cross multiply
    5,871.65x = 8,102.74 × 3,218.99
  4. Step 4: Simplify right side
    5,871.65x = 26,082,651.24
  5. Step 5: Solve for x
    x = 26,082,651.24/5,871.65
  6. Step 6: Final answer
    x = 4,442.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.