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Finding the Fourth Proportional to 38,682, 53,381.16 and 21,915

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Solution

The fourth proportional to 38,682, 53,381.16 and 21,915 is: 30,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682 : 53,381.16 = 21,915 : x
  2. Step 2: Convert to fraction form
    38,682/53,381.16 = 21,915/x
  3. Step 3: Cross multiply
    38,682x = 53,381.16 × 21,915
  4. Step 4: Simplify right side
    38,682x = 1,169,848,121.40
  5. Step 5: Solve for x
    x = 1,169,848,121.40/38,682
  6. Step 6: Final answer
    x = 30,242.70

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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.