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Finding the Fourth Proportional to 20,624, 28,465.36 and 11,672

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Solution

The fourth proportional to 20,624, 28,465.36 and 11,672 is: 16,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 28,465.36 = 11,672 : x
  2. Step 2: Convert to fraction form
    20,624/28,465.36 = 11,672/x
  3. Step 3: Cross multiply
    20,624x = 28,465.36 × 11,672
  4. Step 4: Simplify right side
    20,624x = 332,247,681.92
  5. Step 5: Solve for x
    x = 332,247,681.92/20,624
  6. Step 6: Final answer
    x = 16,109.76

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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.