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Finding the Fourth Proportional to 38,421, 53,020.98 and 20,757

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Solution

The fourth proportional to 38,421, 53,020.98 and 20,757 is: 28,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 53,020.98 = 20,757 : x
  2. Step 2: Convert to fraction form
    38,421/53,020.98 = 20,757/x
  3. Step 3: Cross multiply
    38,421x = 53,020.98 × 20,757
  4. Step 4: Simplify right side
    38,421x = 1,100,556,481.86
  5. Step 5: Solve for x
    x = 1,100,556,481.86/38,421
  6. Step 6: Final answer
    x = 28,644.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.