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Finding the Fourth Proportional to 38,260, 57,392.16 and 13,636

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Solution

The fourth proportional to 38,260, 57,392.16 and 13,636 is: 20,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,260 : 57,392.16 = 13,636 : x
  2. Step 2: Convert to fraction form
    38,260/57,392.16 = 13,636/x
  3. Step 3: Cross multiply
    38,260x = 57,392.16 × 13,636
  4. Step 4: Simplify right side
    38,260x = 782,599,493.76
  5. Step 5: Solve for x
    x = 782,599,493.76/38,260
  6. Step 6: Final answer
    x = 20,454.77

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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.