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Finding the Fourth Proportional to 5,842.71, 8,764.11 and 2,143.35

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Solution

The fourth proportional to 5,842.71, 8,764.11 and 2,143.35 is: 3,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.71 : 8,764.11 = 2,143.35 : x
  2. Step 2: Convert to fraction form
    5,842.71/8,764.11 = 2,143.35/x
  3. Step 3: Cross multiply
    5,842.71x = 8,764.11 × 2,143.35
  4. Step 4: Simplify right side
    5,842.71x = 18,784,555.17
  5. Step 5: Solve for x
    x = 18,784,555.17/5,842.71
  6. Step 6: Final answer
    x = 3,215.04

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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.