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Finding the Fourth Proportional to 25,286.34, 37,928.43 and 8,647.86

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Solution

The fourth proportional to 25,286.34, 37,928.43 and 8,647.86 is: 12,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286.34 : 37,928.43 = 8,647.86 : x
  2. Step 2: Convert to fraction form
    25,286.34/37,928.43 = 8,647.86/x
  3. Step 3: Cross multiply
    25,286.34x = 37,928.43 × 8,647.86
  4. Step 4: Simplify right side
    25,286.34x = 327,999,752.66
  5. Step 5: Solve for x
    x = 327,999,752.66/25,286.34
  6. Step 6: Final answer
    x = 12,971.42

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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.