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Finding the Fourth Proportional to 18,273, 27,406.26 and 5,126.52

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Solution

The fourth proportional to 18,273, 27,406.26 and 5,126.52 is: 7,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,273 : 27,406.26 = 5,126.52 : x
  2. Step 2: Convert to fraction form
    18,273/27,406.26 = 5,126.52/x
  3. Step 3: Cross multiply
    18,273x = 27,406.26 × 5,126.52
  4. Step 4: Simplify right side
    18,273x = 140,498,740.02
  5. Step 5: Solve for x
    x = 140,498,740.02/18,273
  6. Step 6: Final answer
    x = 7,688.87

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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.