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Finding the Fourth Proportional to 16,288, 24,390.65 and 13,648.56

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Solution

The fourth proportional to 16,288, 24,390.65 and 13,648.56 is: 20,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288 : 24,390.65 = 13,648.56 : x
  2. Step 2: Convert to fraction form
    16,288/24,390.65 = 13,648.56/x
  3. Step 3: Cross multiply
    16,288x = 24,390.65 × 13,648.56
  4. Step 4: Simplify right side
    16,288x = 332,897,249.96
  5. Step 5: Solve for x
    x = 332,897,249.96/16,288
  6. Step 6: Final answer
    x = 20,438.19

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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.