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Finding the Fourth Proportional to 5,691.62, 7,846.62 and 3,803.60

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Solution

The fourth proportional to 5,691.62, 7,846.62 and 3,803.60 is: 5,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.62 : 7,846.62 = 3,803.60 : x
  2. Step 2: Convert to fraction form
    5,691.62/7,846.62 = 3,803.60/x
  3. Step 3: Cross multiply
    5,691.62x = 7,846.62 × 3,803.60
  4. Step 4: Simplify right side
    5,691.62x = 29,845,403.83
  5. Step 5: Solve for x
    x = 29,845,403.83/5,691.62
  6. Step 6: Final answer
    x = 5,243.74

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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.