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Finding the Fourth Proportional to 5,641.45, 7,784.71 and 3,517.22

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Solution

The fourth proportional to 5,641.45, 7,784.71 and 3,517.22 is: 4,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.45 : 7,784.71 = 3,517.22 : x
  2. Step 2: Convert to fraction form
    5,641.45/7,784.71 = 3,517.22/x
  3. Step 3: Cross multiply
    5,641.45x = 7,784.71 × 3,517.22
  4. Step 4: Simplify right side
    5,641.45x = 27,380,548.37
  5. Step 5: Solve for x
    x = 27,380,548.37/5,641.45
  6. Step 6: Final answer
    x = 4,853.46

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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.