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Finding the Fourth Proportional to 12,422.31, 18,639.72 and 7,741.14

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Solution

The fourth proportional to 12,422.31, 18,639.72 and 7,741.14 is: 11,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.31 : 18,639.72 = 7,741.14 : x
  2. Step 2: Convert to fraction form
    12,422.31/18,639.72 = 7,741.14/x
  3. Step 3: Cross multiply
    12,422.31x = 18,639.72 × 7,741.14
  4. Step 4: Simplify right side
    12,422.31x = 144,292,682.08
  5. Step 5: Solve for x
    x = 144,292,682.08/12,422.31
  6. Step 6: Final answer
    x = 11,615.61

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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.