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Finding the Fourth Proportional to 38,884, 53,659.92 and 21,220

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Solution

The fourth proportional to 38,884, 53,659.92 and 21,220 is: 29,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884 : 53,659.92 = 21,220 : x
  2. Step 2: Convert to fraction form
    38,884/53,659.92 = 21,220/x
  3. Step 3: Cross multiply
    38,884x = 53,659.92 × 21,220
  4. Step 4: Simplify right side
    38,884x = 1,138,663,502.40
  5. Step 5: Solve for x
    x = 1,138,663,502.40/38,884
  6. Step 6: Final answer
    x = 29,283.60

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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.