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Finding the Fourth Proportional to 39,346, 54,297.48 and 21,682

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Solution

The fourth proportional to 39,346, 54,297.48 and 21,682 is: 29,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,346 : 54,297.48 = 21,682 : x
  2. Step 2: Convert to fraction form
    39,346/54,297.48 = 21,682/x
  3. Step 3: Cross multiply
    39,346x = 54,297.48 × 21,682
  4. Step 4: Simplify right side
    39,346x = 1,177,277,961.36
  5. Step 5: Solve for x
    x = 1,177,277,961.36/39,346
  6. Step 6: Final answer
    x = 29,921.16

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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.