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Finding the Fourth Proportional to 7,971.62, 11,960.43 and 3,585.86

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Solution

The fourth proportional to 7,971.62, 11,960.43 and 3,585.86 is: 5,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.62 : 11,960.43 = 3,585.86 : x
  2. Step 2: Convert to fraction form
    7,971.62/11,960.43 = 3,585.86/x
  3. Step 3: Cross multiply
    7,971.62x = 11,960.43 × 3,585.86
  4. Step 4: Simplify right side
    7,971.62x = 42,888,427.52
  5. Step 5: Solve for x
    x = 42,888,427.52/7,971.62
  6. Step 6: Final answer
    x = 5,380.14

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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.