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Finding the Fourth Proportional to 38,436, 53,041.68 and 20,772

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Solution

The fourth proportional to 38,436, 53,041.68 and 20,772 is: 28,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436 : 53,041.68 = 20,772 : x
  2. Step 2: Convert to fraction form
    38,436/53,041.68 = 20,772/x
  3. Step 3: Cross multiply
    38,436x = 53,041.68 × 20,772
  4. Step 4: Simplify right side
    38,436x = 1,101,781,776.96
  5. Step 5: Solve for x
    x = 1,101,781,776.96/38,436
  6. Step 6: Final answer
    x = 28,665.36

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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.