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Finding the Fourth Proportional to 15,078.64, 22,608 and 6,747.20

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Solution

The fourth proportional to 15,078.64, 22,608 and 6,747.20 is: 10,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.64 : 22,608 = 6,747.20 : x
  2. Step 2: Convert to fraction form
    15,078.64/22,608 = 6,747.20/x
  3. Step 3: Cross multiply
    15,078.64x = 22,608 × 6,747.20
  4. Step 4: Simplify right side
    15,078.64x = 152,540,697.60
  5. Step 5: Solve for x
    x = 152,540,697.60/15,078.64
  6. Step 6: Final answer
    x = 10,116.34

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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.