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Finding the Fourth Proportional to 7,980.65, 11,971.04 and 2,984.15

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Solution

The fourth proportional to 7,980.65, 11,971.04 and 2,984.15 is: 4,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.65 : 11,971.04 = 2,984.15 : x
  2. Step 2: Convert to fraction form
    7,980.65/11,971.04 = 2,984.15/x
  3. Step 3: Cross multiply
    7,980.65x = 11,971.04 × 2,984.15
  4. Step 4: Simplify right side
    7,980.65x = 35,723,379.02
  5. Step 5: Solve for x
    x = 35,723,379.02/7,980.65
  6. Step 6: Final answer
    x = 4,476.25

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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.