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Finding the Fourth Proportional to 10,653.91, 15,981 and 4,080.49

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Solution

The fourth proportional to 10,653.91, 15,981 and 4,080.49 is: 6,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.91 : 15,981 = 4,080.49 : x
  2. Step 2: Convert to fraction form
    10,653.91/15,981 = 4,080.49/x
  3. Step 3: Cross multiply
    10,653.91x = 15,981 × 4,080.49
  4. Step 4: Simplify right side
    10,653.91x = 65,210,310.69
  5. Step 5: Solve for x
    x = 65,210,310.69/10,653.91
  6. Step 6: Final answer
    x = 6,120.79

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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.