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Finding the Fourth Proportional to 9,180.30, 13,758.30 and 8,135.40

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Solution

The fourth proportional to 9,180.30, 13,758.30 and 8,135.40 is: 12,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.30 : 13,758.30 = 8,135.40 : x
  2. Step 2: Convert to fraction form
    9,180.30/13,758.30 = 8,135.40/x
  3. Step 3: Cross multiply
    9,180.30x = 13,758.30 × 8,135.40
  4. Step 4: Simplify right side
    9,180.30x = 111,929,273.82
  5. Step 5: Solve for x
    x = 111,929,273.82/9,180.30
  6. Step 6: Final answer
    x = 12,192.33

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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.