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Finding the Fourth Proportional to 38,381.52, 57,572.28 and 21,954

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Solution

The fourth proportional to 38,381.52, 57,572.28 and 21,954 is: 32,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.52 : 57,572.28 = 21,954 : x
  2. Step 2: Convert to fraction form
    38,381.52/57,572.28 = 21,954/x
  3. Step 3: Cross multiply
    38,381.52x = 57,572.28 × 21,954
  4. Step 4: Simplify right side
    38,381.52x = 1,263,941,835.12
  5. Step 5: Solve for x
    x = 1,263,941,835.12/38,381.52
  6. Step 6: Final answer
    x = 32,931

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.