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Finding the Fourth Proportional to 18,442.86, 27,647.01 and 6,747

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Solution

The fourth proportional to 18,442.86, 27,647.01 and 6,747 is: 10,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.86 : 27,647.01 = 6,747 : x
  2. Step 2: Convert to fraction form
    18,442.86/27,647.01 = 6,747/x
  3. Step 3: Cross multiply
    18,442.86x = 27,647.01 × 6,747
  4. Step 4: Simplify right side
    18,442.86x = 186,534,376.47
  5. Step 5: Solve for x
    x = 186,534,376.47/18,442.86
  6. Step 6: Final answer
    x = 10,114.18

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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.