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Finding the Fourth Proportional to 38,006, 52,448.28 and 21,239

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Solution

The fourth proportional to 38,006, 52,448.28 and 21,239 is: 29,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006 : 52,448.28 = 21,239 : x
  2. Step 2: Convert to fraction form
    38,006/52,448.28 = 21,239/x
  3. Step 3: Cross multiply
    38,006x = 52,448.28 × 21,239
  4. Step 4: Simplify right side
    38,006x = 1,113,949,018.92
  5. Step 5: Solve for x
    x = 1,113,949,018.92/38,006
  6. Step 6: Final answer
    x = 29,309.82

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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.