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Finding the Fourth Proportional to 38,940, 53,737.20 and 21,276

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Solution

The fourth proportional to 38,940, 53,737.20 and 21,276 is: 29,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940 : 53,737.20 = 21,276 : x
  2. Step 2: Convert to fraction form
    38,940/53,737.20 = 21,276/x
  3. Step 3: Cross multiply
    38,940x = 53,737.20 × 21,276
  4. Step 4: Simplify right side
    38,940x = 1,143,312,667.20
  5. Step 5: Solve for x
    x = 1,143,312,667.20/38,940
  6. Step 6: Final answer
    x = 29,360.88

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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.