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Finding the Fourth Proportional to 21,784, 30,062.40 and 13,286.56

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Solution

The fourth proportional to 21,784, 30,062.40 and 13,286.56 is: 18,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 30,062.40 = 13,286.56 : x
  2. Step 2: Convert to fraction form
    21,784/30,062.40 = 13,286.56/x
  3. Step 3: Cross multiply
    21,784x = 30,062.40 × 13,286.56
  4. Step 4: Simplify right side
    21,784x = 399,425,881.34
  5. Step 5: Solve for x
    x = 399,425,881.34/21,784
  6. Step 6: Final answer
    x = 18,335.75

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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.