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Finding the Fourth Proportional to 7,978.53, 11,967.92 and 2,784.41

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Solution

The fourth proportional to 7,978.53, 11,967.92 and 2,784.41 is: 4,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.53 : 11,967.92 = 2,784.41 : x
  2. Step 2: Convert to fraction form
    7,978.53/11,967.92 = 2,784.41/x
  3. Step 3: Cross multiply
    7,978.53x = 11,967.92 × 2,784.41
  4. Step 4: Simplify right side
    7,978.53x = 33,323,522.37
  5. Step 5: Solve for x
    x = 33,323,522.37/7,978.53
  6. Step 6: Final answer
    x = 4,176.65

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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.