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Finding the Fourth Proportional to 25,718.10, 38,580 and 8,183.85

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Solution

The fourth proportional to 25,718.10, 38,580 and 8,183.85 is: 12,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.10 : 38,580 = 8,183.85 : x
  2. Step 2: Convert to fraction form
    25,718.10/38,580 = 8,183.85/x
  3. Step 3: Cross multiply
    25,718.10x = 38,580 × 8,183.85
  4. Step 4: Simplify right side
    25,718.10x = 315,732,933
  5. Step 5: Solve for x
    x = 315,732,933/25,718.10
  6. Step 6: Final answer
    x = 12,276.68

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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.