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Finding the Fourth Proportional to 18,437.67, 27,639.90 and 6,748.16

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Solution

The fourth proportional to 18,437.67, 27,639.90 and 6,748.16 is: 10,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.67 : 27,639.90 = 6,748.16 : x
  2. Step 2: Convert to fraction form
    18,437.67/27,639.90 = 6,748.16/x
  3. Step 3: Cross multiply
    18,437.67x = 27,639.90 × 6,748.16
  4. Step 4: Simplify right side
    18,437.67x = 186,518,329.38
  5. Step 5: Solve for x
    x = 186,518,329.38/18,437.67
  6. Step 6: Final answer
    x = 10,116.16

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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.