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Finding the Fourth Proportional to 21,160.76, 31,742.44 and 7,119.61

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Solution

The fourth proportional to 21,160.76, 31,742.44 and 7,119.61 is: 10,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.76 : 31,742.44 = 7,119.61 : x
  2. Step 2: Convert to fraction form
    21,160.76/31,742.44 = 7,119.61/x
  3. Step 3: Cross multiply
    21,160.76x = 31,742.44 × 7,119.61
  4. Step 4: Simplify right side
    21,160.76x = 225,993,932.88
  5. Step 5: Solve for x
    x = 225,993,932.88/21,160.76
  6. Step 6: Final answer
    x = 10,679.86

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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.