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Finding the Fourth Proportional to 38,051.92, 52,516.92 and 21,286

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Solution

The fourth proportional to 38,051.92, 52,516.92 and 21,286 is: 29,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.92 : 52,516.92 = 21,286 : x
  2. Step 2: Convert to fraction form
    38,051.92/52,516.92 = 21,286/x
  3. Step 3: Cross multiply
    38,051.92x = 52,516.92 × 21,286
  4. Step 4: Simplify right side
    38,051.92x = 1,117,875,159.12
  5. Step 5: Solve for x
    x = 1,117,875,159.12/38,051.92
  6. Step 6: Final answer
    x = 29,377.63

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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.