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Finding the Fourth Proportional to 14,643.40, 21,981.30 and 8,082.40

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Solution

The fourth proportional to 14,643.40, 21,981.30 and 8,082.40 is: 12,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.40 : 21,981.30 = 8,082.40 : x
  2. Step 2: Convert to fraction form
    14,643.40/21,981.30 = 8,082.40/x
  3. Step 3: Cross multiply
    14,643.40x = 21,981.30 × 8,082.40
  4. Step 4: Simplify right side
    14,643.40x = 177,661,659.12
  5. Step 5: Solve for x
    x = 177,661,659.12/14,643.40
  6. Step 6: Final answer
    x = 12,132.54

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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.