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Finding the Fourth Proportional to 15,767.71, 21,758.98 and 8,694.15

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Solution

The fourth proportional to 15,767.71, 21,758.98 and 8,694.15 is: 11,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.71 : 21,758.98 = 8,694.15 : x
  2. Step 2: Convert to fraction form
    15,767.71/21,758.98 = 8,694.15/x
  3. Step 3: Cross multiply
    15,767.71x = 21,758.98 × 8,694.15
  4. Step 4: Simplify right side
    15,767.71x = 189,175,835.97
  5. Step 5: Solve for x
    x = 189,175,835.97/15,767.71
  6. Step 6: Final answer
    x = 11,997.67

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1.5x scale

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.