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Finding the Fourth Proportional to 38,259, 57,390.66 and 13,635

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Solution

The fourth proportional to 38,259, 57,390.66 and 13,635 is: 20,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259 : 57,390.66 = 13,635 : x
  2. Step 2: Convert to fraction form
    38,259/57,390.66 = 13,635/x
  3. Step 3: Cross multiply
    38,259x = 57,390.66 × 13,635
  4. Step 4: Simplify right side
    38,259x = 782,521,649.10
  5. Step 5: Solve for x
    x = 782,521,649.10/38,259
  6. Step 6: Final answer
    x = 20,453.27

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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.