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Finding the Fourth Proportional to 38,806, 53,552.28 and 21,142

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Solution

The fourth proportional to 38,806, 53,552.28 and 21,142 is: 29,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,806 : 53,552.28 = 21,142 : x
  2. Step 2: Convert to fraction form
    38,806/53,552.28 = 21,142/x
  3. Step 3: Cross multiply
    38,806x = 53,552.28 × 21,142
  4. Step 4: Simplify right side
    38,806x = 1,132,202,303.76
  5. Step 5: Solve for x
    x = 1,132,202,303.76/38,806
  6. Step 6: Final answer
    x = 29,175.96

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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.