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Finding the Fourth Proportional to 38,476, 53,097.04 and 20,812

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Solution

The fourth proportional to 38,476, 53,097.04 and 20,812 is: 28,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476 : 53,097.04 = 20,812 : x
  2. Step 2: Convert to fraction form
    38,476/53,097.04 = 20,812/x
  3. Step 3: Cross multiply
    38,476x = 53,097.04 × 20,812
  4. Step 4: Simplify right side
    38,476x = 1,105,055,596.48
  5. Step 5: Solve for x
    x = 1,105,055,596.48/38,476
  6. Step 6: Final answer
    x = 28,720.65

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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.