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Finding the Fourth Proportional to 25,843.24, 38,771.34 and 8,312.68

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Solution

The fourth proportional to 25,843.24, 38,771.34 and 8,312.68 is: 12,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.24 : 38,771.34 = 8,312.68 : x
  2. Step 2: Convert to fraction form
    25,843.24/38,771.34 = 8,312.68/x
  3. Step 3: Cross multiply
    25,843.24x = 38,771.34 × 8,312.68
  4. Step 4: Simplify right side
    25,843.24x = 322,293,742.59
  5. Step 5: Solve for x
    x = 322,293,742.59/25,843.24
  6. Step 6: Final answer
    x = 12,471.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.