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Finding the Fourth Proportional to 25,800, 38,701.83 and 10,217.63

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Solution

The fourth proportional to 25,800, 38,701.83 and 10,217.63 is: 15,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800 : 38,701.83 = 10,217.63 : x
  2. Step 2: Convert to fraction form
    25,800/38,701.83 = 10,217.63/x
  3. Step 3: Cross multiply
    25,800x = 38,701.83 × 10,217.63
  4. Step 4: Simplify right side
    25,800x = 395,440,785.75
  5. Step 5: Solve for x
    x = 395,440,785.75/25,800
  6. Step 6: Final answer
    x = 15,327.16

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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.