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Finding the Fourth Proportional to 25,718.76, 38,584.08 and 8,188.56

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Solution

The fourth proportional to 25,718.76, 38,584.08 and 8,188.56 is: 12,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.76 : 38,584.08 = 8,188.56 : x
  2. Step 2: Convert to fraction form
    25,718.76/38,584.08 = 8,188.56/x
  3. Step 3: Cross multiply
    25,718.76x = 38,584.08 × 8,188.56
  4. Step 4: Simplify right side
    25,718.76x = 315,948,054.12
  5. Step 5: Solve for x
    x = 315,948,054.12/25,718.76
  6. Step 6: Final answer
    x = 12,284.73

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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.