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Finding the Fourth Proportional to 11,851.60, 17,755.80 and 7,229.20

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Solution

The fourth proportional to 11,851.60, 17,755.80 and 7,229.20 is: 10,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.60 : 17,755.80 = 7,229.20 : x
  2. Step 2: Convert to fraction form
    11,851.60/17,755.80 = 7,229.20/x
  3. Step 3: Cross multiply
    11,851.60x = 17,755.80 × 7,229.20
  4. Step 4: Simplify right side
    11,851.60x = 128,360,229.36
  5. Step 5: Solve for x
    x = 128,360,229.36/11,851.60
  6. Step 6: Final answer
    x = 10,830.62

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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.