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Finding the Fourth Proportional to 11,230.66, 15,485.66 and 7,192.20

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Solution

The fourth proportional to 11,230.66, 15,485.66 and 7,192.20 is: 9,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.66 : 15,485.66 = 7,192.20 : x
  2. Step 2: Convert to fraction form
    11,230.66/15,485.66 = 7,192.20/x
  3. Step 3: Cross multiply
    11,230.66x = 15,485.66 × 7,192.20
  4. Step 4: Simplify right side
    11,230.66x = 111,375,963.85
  5. Step 5: Solve for x
    x = 111,375,963.85/11,230.66
  6. Step 6: Final answer
    x = 9,917.13

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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.