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Finding the Fourth Proportional to 38,732, 53,450.16 and 21,965

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Solution

The fourth proportional to 38,732, 53,450.16 and 21,965 is: 30,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732 : 53,450.16 = 21,965 : x
  2. Step 2: Convert to fraction form
    38,732/53,450.16 = 21,965/x
  3. Step 3: Cross multiply
    38,732x = 53,450.16 × 21,965
  4. Step 4: Simplify right side
    38,732x = 1,174,032,764.40
  5. Step 5: Solve for x
    x = 1,174,032,764.40/38,732
  6. Step 6: Final answer
    x = 30,311.70

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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.