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Finding the Fourth Proportional to 6,842.88, 10,245 and 5,206.08

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Solution

The fourth proportional to 6,842.88, 10,245 and 5,206.08 is: 7,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 10,245 = 5,206.08 : x
  2. Step 2: Convert to fraction form
    6,842.88/10,245 = 5,206.08/x
  3. Step 3: Cross multiply
    6,842.88x = 10,245 × 5,206.08
  4. Step 4: Simplify right side
    6,842.88x = 53,336,289.60
  5. Step 5: Solve for x
    x = 53,336,289.60/6,842.88
  6. Step 6: Final answer
    x = 7,794.42

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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.