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Finding the Fourth Proportional to 7,208.78, 9,949.96 and 4,557.64

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Solution

The fourth proportional to 7,208.78, 9,949.96 and 4,557.64 is: 6,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.78 : 9,949.96 = 4,557.64 : x
  2. Step 2: Convert to fraction form
    7,208.78/9,949.96 = 4,557.64/x
  3. Step 3: Cross multiply
    7,208.78x = 9,949.96 × 4,557.64
  4. Step 4: Simplify right side
    7,208.78x = 45,348,335.69
  5. Step 5: Solve for x
    x = 45,348,335.69/7,208.78
  6. Step 6: Final answer
    x = 6,290.71

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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.