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Finding the Fourth Proportional to 38,406, 53,000.28 and 20,742

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Solution

The fourth proportional to 38,406, 53,000.28 and 20,742 is: 28,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406 : 53,000.28 = 20,742 : x
  2. Step 2: Convert to fraction form
    38,406/53,000.28 = 20,742/x
  3. Step 3: Cross multiply
    38,406x = 53,000.28 × 20,742
  4. Step 4: Simplify right side
    38,406x = 1,099,331,807.76
  5. Step 5: Solve for x
    x = 1,099,331,807.76/38,406
  6. Step 6: Final answer
    x = 28,623.96

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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.