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Finding the Fourth Proportional to 18,537.18, 27,807 and 5,390.46

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Solution

The fourth proportional to 18,537.18, 27,807 and 5,390.46 is: 8,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.18 : 27,807 = 5,390.46 : x
  2. Step 2: Convert to fraction form
    18,537.18/27,807 = 5,390.46/x
  3. Step 3: Cross multiply
    18,537.18x = 27,807 × 5,390.46
  4. Step 4: Simplify right side
    18,537.18x = 149,892,521.22
  5. Step 5: Solve for x
    x = 149,892,521.22/18,537.18
  6. Step 6: Final answer
    x = 8,086.05

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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.