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Finding the Fourth Proportional to 18,285.88, 27,428.94 and 5,138.50

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Solution

The fourth proportional to 18,285.88, 27,428.94 and 5,138.50 is: 7,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.88 : 27,428.94 = 5,138.50 : x
  2. Step 2: Convert to fraction form
    18,285.88/27,428.94 = 5,138.50/x
  3. Step 3: Cross multiply
    18,285.88x = 27,428.94 × 5,138.50
  4. Step 4: Simplify right side
    18,285.88x = 140,943,608.19
  5. Step 5: Solve for x
    x = 140,943,608.19/18,285.88
  6. Step 6: Final answer
    x = 7,707.78

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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.