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Finding the Fourth Proportional to 15,203.64, 20,971.56 and 9,229.48

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Solution

The fourth proportional to 15,203.64, 20,971.56 and 9,229.48 is: 12,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.64 : 20,971.56 = 9,229.48 : x
  2. Step 2: Convert to fraction form
    15,203.64/20,971.56 = 9,229.48/x
  3. Step 3: Cross multiply
    15,203.64x = 20,971.56 × 9,229.48
  4. Step 4: Simplify right side
    15,203.64x = 193,556,593.59
  5. Step 5: Solve for x
    x = 193,556,593.59/15,203.64
  6. Step 6: Final answer
    x = 12,730.94

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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.