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Finding the Fourth Proportional to 5,979.76, 8,971.14 and 3,516.64

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Solution

The fourth proportional to 5,979.76, 8,971.14 and 3,516.64 is: 5,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.76 : 8,971.14 = 3,516.64 : x
  2. Step 2: Convert to fraction form
    5,979.76/8,971.14 = 3,516.64/x
  3. Step 3: Cross multiply
    5,979.76x = 8,971.14 × 3,516.64
  4. Step 4: Simplify right side
    5,979.76x = 31,548,269.77
  5. Step 5: Solve for x
    x = 31,548,269.77/5,979.76
  6. Step 6: Final answer
    x = 5,275.84

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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.