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Finding the Fourth Proportional to 6,921.92, 9,552.94 and 4,090.23

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Solution

The fourth proportional to 6,921.92, 9,552.94 and 4,090.23 is: 5,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.92 : 9,552.94 = 4,090.23 : x
  2. Step 2: Convert to fraction form
    6,921.92/9,552.94 = 4,090.23/x
  3. Step 3: Cross multiply
    6,921.92x = 9,552.94 × 4,090.23
  4. Step 4: Simplify right side
    6,921.92x = 39,073,711.55
  5. Step 5: Solve for x
    x = 39,073,711.55/6,921.92
  6. Step 6: Final answer
    x = 5,644.92

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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.