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Finding the Fourth Proportional to 7,978.28, 11,969.98 and 2,432.68

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Solution

The fourth proportional to 7,978.28, 11,969.98 and 2,432.68 is: 3,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.28 : 11,969.98 = 2,432.68 : x
  2. Step 2: Convert to fraction form
    7,978.28/11,969.98 = 2,432.68/x
  3. Step 3: Cross multiply
    7,978.28x = 11,969.98 × 2,432.68
  4. Step 4: Simplify right side
    7,978.28x = 29,119,130.95
  5. Step 5: Solve for x
    x = 29,119,130.95/7,978.28
  6. Step 6: Final answer
    x = 3,649.80

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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.