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Finding the Fourth Proportional to 38,966, 53,773.08 and 21,302

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Solution

The fourth proportional to 38,966, 53,773.08 and 21,302 is: 29,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,966 : 53,773.08 = 21,302 : x
  2. Step 2: Convert to fraction form
    38,966/53,773.08 = 21,302/x
  3. Step 3: Cross multiply
    38,966x = 53,773.08 × 21,302
  4. Step 4: Simplify right side
    38,966x = 1,145,474,150.16
  5. Step 5: Solve for x
    x = 1,145,474,150.16/38,966
  6. Step 6: Final answer
    x = 29,396.76

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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.