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Finding the Fourth Proportional to 38,462.92, 53,079.78 and 21,697

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Solution

The fourth proportional to 38,462.92, 53,079.78 and 21,697 is: 29,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.92 : 53,079.78 = 21,697 : x
  2. Step 2: Convert to fraction form
    38,462.92/53,079.78 = 21,697/x
  3. Step 3: Cross multiply
    38,462.92x = 53,079.78 × 21,697
  4. Step 4: Simplify right side
    38,462.92x = 1,151,671,986.66
  5. Step 5: Solve for x
    x = 1,151,671,986.66/38,462.92
  6. Step 6: Final answer
    x = 29,942.40

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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.