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Finding the Fourth Proportional to 7,168.40, 9,894.66 and 4,185.44

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Solution

The fourth proportional to 7,168.40, 9,894.66 and 4,185.44 is: 5,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.40 : 9,894.66 = 4,185.44 : x
  2. Step 2: Convert to fraction form
    7,168.40/9,894.66 = 4,185.44/x
  3. Step 3: Cross multiply
    7,168.40x = 9,894.66 × 4,185.44
  4. Step 4: Simplify right side
    7,168.40x = 41,413,505.75
  5. Step 5: Solve for x
    x = 41,413,505.75/7,168.40
  6. Step 6: Final answer
    x = 5,777.23

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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.