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Finding the Fourth Proportional to 7,265.70, 10,906.65 and 3,985.20

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Solution

The fourth proportional to 7,265.70, 10,906.65 and 3,985.20 is: 5,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.70 : 10,906.65 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    7,265.70/10,906.65 = 3,985.20/x
  3. Step 3: Cross multiply
    7,265.70x = 10,906.65 × 3,985.20
  4. Step 4: Simplify right side
    7,265.70x = 43,465,181.58
  5. Step 5: Solve for x
    x = 43,465,181.58/7,265.70
  6. Step 6: Final answer
    x = 5,982.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.