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Finding the Fourth Proportional to 18,672, 28,011.84 and 7,728

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Solution

The fourth proportional to 18,672, 28,011.84 and 7,728 is: 11,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672 : 28,011.84 = 7,728 : x
  2. Step 2: Convert to fraction form
    18,672/28,011.84 = 7,728/x
  3. Step 3: Cross multiply
    18,672x = 28,011.84 × 7,728
  4. Step 4: Simplify right side
    18,672x = 216,475,499.52
  5. Step 5: Solve for x
    x = 216,475,499.52/18,672
  6. Step 6: Final answer
    x = 11,593.59

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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.