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Finding the Fourth Proportional to 28,165, 42,254.17 and 9,189.54

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Solution

The fourth proportional to 28,165, 42,254.17 and 9,189.54 is: 13,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165 : 42,254.17 = 9,189.54 : x
  2. Step 2: Convert to fraction form
    28,165/42,254.17 = 9,189.54/x
  3. Step 3: Cross multiply
    28,165x = 42,254.17 × 9,189.54
  4. Step 4: Simplify right side
    28,165x = 388,296,385.38
  5. Step 5: Solve for x
    x = 388,296,385.38/28,165
  6. Step 6: Final answer
    x = 13,786.49

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1.5x scale

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.