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Finding the Fourth Proportional to 9,129.12, 12,619.44 and 8,144.16

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Solution

The fourth proportional to 9,129.12, 12,619.44 and 8,144.16 is: 11,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.12 : 12,619.44 = 8,144.16 : x
  2. Step 2: Convert to fraction form
    9,129.12/12,619.44 = 8,144.16/x
  3. Step 3: Cross multiply
    9,129.12x = 12,619.44 × 8,144.16
  4. Step 4: Simplify right side
    9,129.12x = 102,774,738.47
  5. Step 5: Solve for x
    x = 102,774,738.47/9,129.12
  6. Step 6: Final answer
    x = 11,257.90

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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.