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Finding the Fourth Proportional to 15,286.91, 21,087 and 9,612.68

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Solution

The fourth proportional to 15,286.91, 21,087 and 9,612.68 is: 13,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.91 : 21,087 = 9,612.68 : x
  2. Step 2: Convert to fraction form
    15,286.91/21,087 = 9,612.68/x
  3. Step 3: Cross multiply
    15,286.91x = 21,087 × 9,612.68
  4. Step 4: Simplify right side
    15,286.91x = 202,702,477.73
  5. Step 5: Solve for x
    x = 202,702,477.73/15,286.91
  6. Step 6: Final answer
    x = 13,259.87

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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.