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Finding the Fourth Proportional to 9,265.92, 12,820.20 and 8,090.42

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Solution

The fourth proportional to 9,265.92, 12,820.20 and 8,090.42 is: 11,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.92 : 12,820.20 = 8,090.42 : x
  2. Step 2: Convert to fraction form
    9,265.92/12,820.20 = 8,090.42/x
  3. Step 3: Cross multiply
    9,265.92x = 12,820.20 × 8,090.42
  4. Step 4: Simplify right side
    9,265.92x = 103,720,802.48
  5. Step 5: Solve for x
    x = 103,720,802.48/9,265.92
  6. Step 6: Final answer
    x = 11,193.79

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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.