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Finding the Fourth Proportional to 6,978.80, 10,453.44 and 4,504.88

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Solution

The fourth proportional to 6,978.80, 10,453.44 and 4,504.88 is: 6,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.80 : 10,453.44 = 4,504.88 : x
  2. Step 2: Convert to fraction form
    6,978.80/10,453.44 = 4,504.88/x
  3. Step 3: Cross multiply
    6,978.80x = 10,453.44 × 4,504.88
  4. Step 4: Simplify right side
    6,978.80x = 47,091,492.79
  5. Step 5: Solve for x
    x = 47,091,492.79/6,978.80
  6. Step 6: Final answer
    x = 6,747.79

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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.