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Finding the Fourth Proportional to 18,767, 28,150.50 and 7,077.49

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Solution

The fourth proportional to 18,767, 28,150.50 and 7,077.49 is: 10,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,767 : 28,150.50 = 7,077.49 : x
  2. Step 2: Convert to fraction form
    18,767/28,150.50 = 7,077.49/x
  3. Step 3: Cross multiply
    18,767x = 28,150.50 × 7,077.49
  4. Step 4: Simplify right side
    18,767x = 199,234,741.49
  5. Step 5: Solve for x
    x = 199,234,741.49/18,767
  6. Step 6: Final answer
    x = 10,616.23

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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.