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Finding the Fourth Proportional to 38,586, 57,878.86 and 12,292.86

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Solution

The fourth proportional to 38,586, 57,878.86 and 12,292.86 is: 18,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,586 : 57,878.86 = 12,292.86 : x
  2. Step 2: Convert to fraction form
    38,586/57,878.86 = 12,292.86/x
  3. Step 3: Cross multiply
    38,586x = 57,878.86 × 12,292.86
  4. Step 4: Simplify right side
    38,586x = 711,496,722.94
  5. Step 5: Solve for x
    x = 711,496,722.94/38,586
  6. Step 6: Final answer
    x = 18,439.25

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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.