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Finding the Fourth Proportional to 14,414.76, 21,622.14 and 7,839.18

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Solution

The fourth proportional to 14,414.76, 21,622.14 and 7,839.18 is: 11,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.76 : 21,622.14 = 7,839.18 : x
  2. Step 2: Convert to fraction form
    14,414.76/21,622.14 = 7,839.18/x
  3. Step 3: Cross multiply
    14,414.76x = 21,622.14 × 7,839.18
  4. Step 4: Simplify right side
    14,414.76x = 169,499,847.45
  5. Step 5: Solve for x
    x = 169,499,847.45/14,414.76
  6. Step 6: Final answer
    x = 11,758.77

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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.