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Finding the Fourth Proportional to 25,687.68, 38,537.64 and 8,157.48

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Solution

The fourth proportional to 25,687.68, 38,537.64 and 8,157.48 is: 12,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.68 : 38,537.64 = 8,157.48 : x
  2. Step 2: Convert to fraction form
    25,687.68/38,537.64 = 8,157.48/x
  3. Step 3: Cross multiply
    25,687.68x = 38,537.64 × 8,157.48
  4. Step 4: Simplify right side
    25,687.68x = 314,370,027.55
  5. Step 5: Solve for x
    x = 314,370,027.55/25,687.68
  6. Step 6: Final answer
    x = 12,238.16

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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.