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Finding the Fourth Proportional to 7,399.68, 10,284 and 7,321.92

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Solution

The fourth proportional to 7,399.68, 10,284 and 7,321.92 is: 10,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.68 : 10,284 = 7,321.92 : x
  2. Step 2: Convert to fraction form
    7,399.68/10,284 = 7,321.92/x
  3. Step 3: Cross multiply
    7,399.68x = 10,284 × 7,321.92
  4. Step 4: Simplify right side
    7,399.68x = 75,298,625.28
  5. Step 5: Solve for x
    x = 75,298,625.28/7,399.68
  6. Step 6: Final answer
    x = 10,175.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.