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Finding the Fourth Proportional to 18,768, 28,152 and 7,078.49

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Solution

The fourth proportional to 18,768, 28,152 and 7,078.49 is: 10,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768 : 28,152 = 7,078.49 : x
  2. Step 2: Convert to fraction form
    18,768/28,152 = 7,078.49/x
  3. Step 3: Cross multiply
    18,768x = 28,152 × 7,078.49
  4. Step 4: Simplify right side
    18,768x = 199,273,509.72
  5. Step 5: Solve for x
    x = 199,273,509.72/18,768
  6. Step 6: Final answer
    x = 10,617.73

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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.