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Finding the Fourth Proportional to 12,405.44, 17,124 and 8,215.04

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Solution

The fourth proportional to 12,405.44, 17,124 and 8,215.04 is: 11,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.44 : 17,124 = 8,215.04 : x
  2. Step 2: Convert to fraction form
    12,405.44/17,124 = 8,215.04/x
  3. Step 3: Cross multiply
    12,405.44x = 17,124 × 8,215.04
  4. Step 4: Simplify right side
    12,405.44x = 140,674,344.96
  5. Step 5: Solve for x
    x = 140,674,344.96/12,405.44
  6. Step 6: Final answer
    x = 11,339.73

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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.