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Finding the Fourth Proportional to 7,980.86, 11,972.56 and 2,432.94

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Solution

The fourth proportional to 7,980.86, 11,972.56 and 2,432.94 is: 3,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.86 : 11,972.56 = 2,432.94 : x
  2. Step 2: Convert to fraction form
    7,980.86/11,972.56 = 2,432.94/x
  3. Step 3: Cross multiply
    7,980.86x = 11,972.56 × 2,432.94
  4. Step 4: Simplify right side
    7,980.86x = 29,128,473.71
  5. Step 5: Solve for x
    x = 29,128,473.71/7,980.86
  6. Step 6: Final answer
    x = 3,649.79

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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.