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Finding the Fourth Proportional to 5,689.97, 7,847.25 and 3,699.80

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Solution

The fourth proportional to 5,689.97, 7,847.25 and 3,699.80 is: 5,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.97 : 7,847.25 = 3,699.80 : x
  2. Step 2: Convert to fraction form
    5,689.97/7,847.25 = 3,699.80/x
  3. Step 3: Cross multiply
    5,689.97x = 7,847.25 × 3,699.80
  4. Step 4: Simplify right side
    5,689.97x = 29,033,255.55
  5. Step 5: Solve for x
    x = 29,033,255.55/5,689.97
  6. Step 6: Final answer
    x = 5,102.53

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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.