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Finding the Fourth Proportional to 5,869.91, 8,100.42 and 3,181.11

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Solution

The fourth proportional to 5,869.91, 8,100.42 and 3,181.11 is: 4,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.91 : 8,100.42 = 3,181.11 : x
  2. Step 2: Convert to fraction form
    5,869.91/8,100.42 = 3,181.11/x
  3. Step 3: Cross multiply
    5,869.91x = 8,100.42 × 3,181.11
  4. Step 4: Simplify right side
    5,869.91x = 25,768,327.07
  5. Step 5: Solve for x
    x = 25,768,327.07/5,869.91
  6. Step 6: Final answer
    x = 4,389.90

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1.5x scale

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.