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Finding the Fourth Proportional to 18,035.87, 27,053.80 and 6,947.78

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Solution

The fourth proportional to 18,035.87, 27,053.80 and 6,947.78 is: 10,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,035.87 : 27,053.80 = 6,947.78 : x
  2. Step 2: Convert to fraction form
    18,035.87/27,053.80 = 6,947.78/x
  3. Step 3: Cross multiply
    18,035.87x = 27,053.80 × 6,947.78
  4. Step 4: Simplify right side
    18,035.87x = 187,963,697.93
  5. Step 5: Solve for x
    x = 187,963,697.93/18,035.87
  6. Step 6: Final answer
    x = 10,421.66

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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.