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Finding the Fourth Proportional to 15,694.56, 21,676 and 10,650

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Solution

The fourth proportional to 15,694.56, 21,676 and 10,650 is: 14,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.56 : 21,676 = 10,650 : x
  2. Step 2: Convert to fraction form
    15,694.56/21,676 = 10,650/x
  3. Step 3: Cross multiply
    15,694.56x = 21,676 × 10,650
  4. Step 4: Simplify right side
    15,694.56x = 230,849,400
  5. Step 5: Solve for x
    x = 230,849,400/15,694.56
  6. Step 6: Final answer
    x = 14,708.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.