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Finding the Fourth Proportional to 7,980.69, 11,970.51 and 2,982.09

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Solution

The fourth proportional to 7,980.69, 11,970.51 and 2,982.09 is: 4,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.69 : 11,970.51 = 2,982.09 : x
  2. Step 2: Convert to fraction form
    7,980.69/11,970.51 = 2,982.09/x
  3. Step 3: Cross multiply
    7,980.69x = 11,970.51 × 2,982.09
  4. Step 4: Simplify right side
    7,980.69x = 35,697,138.17
  5. Step 5: Solve for x
    x = 35,697,138.17/7,980.69
  6. Step 6: Final answer
    x = 4,472.94

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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.