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Finding the Fourth Proportional to 7,402.25, 10,215.11 and 4,090.25

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Solution

The fourth proportional to 7,402.25, 10,215.11 and 4,090.25 is: 5,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.25 : 10,215.11 = 4,090.25 : x
  2. Step 2: Convert to fraction form
    7,402.25/10,215.11 = 4,090.25/x
  3. Step 3: Cross multiply
    7,402.25x = 10,215.11 × 4,090.25
  4. Step 4: Simplify right side
    7,402.25x = 41,782,353.68
  5. Step 5: Solve for x
    x = 41,782,353.68/7,402.25
  6. Step 6: Final answer
    x = 5,644.55

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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.