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Finding the Fourth Proportional to 7,232.28, 9,982.39 and 4,090.29

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Solution

The fourth proportional to 7,232.28, 9,982.39 and 4,090.29 is: 5,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.28 : 9,982.39 = 4,090.29 : x
  2. Step 2: Convert to fraction form
    7,232.28/9,982.39 = 4,090.29/x
  3. Step 3: Cross multiply
    7,232.28x = 9,982.39 × 4,090.29
  4. Step 4: Simplify right side
    7,232.28x = 40,830,869.99
  5. Step 5: Solve for x
    x = 40,830,869.99/7,232.28
  6. Step 6: Final answer
    x = 5,645.64

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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.