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Finding the Fourth Proportional to 38,924.68, 53,713 and 21,928

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Solution

The fourth proportional to 38,924.68, 53,713 and 21,928 is: 30,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924.68 : 53,713 = 21,928 : x
  2. Step 2: Convert to fraction form
    38,924.68/53,713 = 21,928/x
  3. Step 3: Cross multiply
    38,924.68x = 53,713 × 21,928
  4. Step 4: Simplify right side
    38,924.68x = 1,177,818,664
  5. Step 5: Solve for x
    x = 1,177,818,664/38,924.68
  6. Step 6: Final answer
    x = 30,258.92

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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.