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Finding the Fourth Proportional to 7,902.48, 10,892.82 and 6,221.22

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Solution

The fourth proportional to 7,902.48, 10,892.82 and 6,221.22 is: 8,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.48 : 10,892.82 = 6,221.22 : x
  2. Step 2: Convert to fraction form
    7,902.48/10,892.82 = 6,221.22/x
  3. Step 3: Cross multiply
    7,902.48x = 10,892.82 × 6,221.22
  4. Step 4: Simplify right side
    7,902.48x = 67,766,629.64
  5. Step 5: Solve for x
    x = 67,766,629.64/7,902.48
  6. Step 6: Final answer
    x = 8,575.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.