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Finding the Fourth Proportional to 5,645.44, 7,789.80 and 3,548.08

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Solution

The fourth proportional to 5,645.44, 7,789.80 and 3,548.08 is: 4,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.44 : 7,789.80 = 3,548.08 : x
  2. Step 2: Convert to fraction form
    5,645.44/7,789.80 = 3,548.08/x
  3. Step 3: Cross multiply
    5,645.44x = 7,789.80 × 3,548.08
  4. Step 4: Simplify right side
    5,645.44x = 27,638,833.58
  5. Step 5: Solve for x
    x = 27,638,833.58/5,645.44
  6. Step 6: Final answer
    x = 4,895.78

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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.