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Finding the Fourth Proportional to 25,856.70, 38,788.70 and 8,324.25

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Solution

The fourth proportional to 25,856.70, 38,788.70 and 8,324.25 is: 12,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.70 : 38,788.70 = 8,324.25 : x
  2. Step 2: Convert to fraction form
    25,856.70/38,788.70 = 8,324.25/x
  3. Step 3: Cross multiply
    25,856.70x = 38,788.70 × 8,324.25
  4. Step 4: Simplify right side
    25,856.70x = 322,886,794.35
  5. Step 5: Solve for x
    x = 322,886,794.35/25,856.70
  6. Step 6: Final answer
    x = 12,487.55

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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.