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Finding the Fourth Proportional to 3,886.23, 5,821.10 and 3,142.65

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Solution

The fourth proportional to 3,886.23, 5,821.10 and 3,142.65 is: 4,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.23 : 5,821.10 = 3,142.65 : x
  2. Step 2: Convert to fraction form
    3,886.23/5,821.10 = 3,142.65/x
  3. Step 3: Cross multiply
    3,886.23x = 5,821.10 × 3,142.65
  4. Step 4: Simplify right side
    3,886.23x = 18,293,679.92
  5. Step 5: Solve for x
    x = 18,293,679.92/3,886.23
  6. Step 6: Final answer
    x = 4,707.31

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1.5x scale

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.