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Finding the Fourth Proportional to 5,874.81, 8,811.96 and 1,979.20

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Solution

The fourth proportional to 5,874.81, 8,811.96 and 1,979.20 is: 2,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.81 : 8,811.96 = 1,979.20 : x
  2. Step 2: Convert to fraction form
    5,874.81/8,811.96 = 1,979.20/x
  3. Step 3: Cross multiply
    5,874.81x = 8,811.96 × 1,979.20
  4. Step 4: Simplify right side
    5,874.81x = 17,440,631.23
  5. Step 5: Solve for x
    x = 17,440,631.23/5,874.81
  6. Step 6: Final answer
    x = 2,968.71

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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.