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Finding the Fourth Proportional to 38,053, 52,513.14 and 21,286

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Solution

The fourth proportional to 38,053, 52,513.14 and 21,286 is: 29,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053 : 52,513.14 = 21,286 : x
  2. Step 2: Convert to fraction form
    38,053/52,513.14 = 21,286/x
  3. Step 3: Cross multiply
    38,053x = 52,513.14 × 21,286
  4. Step 4: Simplify right side
    38,053x = 1,117,794,698.04
  5. Step 5: Solve for x
    x = 1,117,794,698.04/38,053
  6. Step 6: Final answer
    x = 29,374.68

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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.