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Finding the Fourth Proportional to 11,812, 17,719.68 and 4,018.72

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Solution

The fourth proportional to 11,812, 17,719.68 and 4,018.72 is: 6,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812 : 17,719.68 = 4,018.72 : x
  2. Step 2: Convert to fraction form
    11,812/17,719.68 = 4,018.72/x
  3. Step 3: Cross multiply
    11,812x = 17,719.68 × 4,018.72
  4. Step 4: Simplify right side
    11,812x = 71,210,432.41
  5. Step 5: Solve for x
    x = 71,210,432.41/11,812
  6. Step 6: Final answer
    x = 6,028.65

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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.