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Finding the Fourth Proportional to 25,925, 38,894.28 and 8,154.92

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Solution

The fourth proportional to 25,925, 38,894.28 and 8,154.92 is: 12,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,925 : 38,894.28 = 8,154.92 : x
  2. Step 2: Convert to fraction form
    25,925/38,894.28 = 8,154.92/x
  3. Step 3: Cross multiply
    25,925x = 38,894.28 × 8,154.92
  4. Step 4: Simplify right side
    25,925x = 317,179,741.86
  5. Step 5: Solve for x
    x = 317,179,741.86/25,925
  6. Step 6: Final answer
    x = 12,234.51

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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.