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Finding the Fourth Proportional to 39,347, 54,298.86 and 21,683

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Solution

The fourth proportional to 39,347, 54,298.86 and 21,683 is: 29,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,347 : 54,298.86 = 21,683 : x
  2. Step 2: Convert to fraction form
    39,347/54,298.86 = 21,683/x
  3. Step 3: Cross multiply
    39,347x = 54,298.86 × 21,683
  4. Step 4: Simplify right side
    39,347x = 1,177,362,181.38
  5. Step 5: Solve for x
    x = 1,177,362,181.38/39,347
  6. Step 6: Final answer
    x = 29,922.54

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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.