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Finding the Fourth Proportional to 38,239, 52,770 and 21,472

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Solution

The fourth proportional to 38,239, 52,770 and 21,472 is: 29,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,239 : 52,770 = 21,472 : x
  2. Step 2: Convert to fraction form
    38,239/52,770 = 21,472/x
  3. Step 3: Cross multiply
    38,239x = 52,770 × 21,472
  4. Step 4: Simplify right side
    38,239x = 1,133,077,440
  5. Step 5: Solve for x
    x = 1,133,077,440/38,239
  6. Step 6: Final answer
    x = 29,631.46

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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.