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Finding the Fourth Proportional to 21,009.81, 31,514.09 and 8,529.54

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Solution

The fourth proportional to 21,009.81, 31,514.09 and 8,529.54 is: 12,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.81 : 31,514.09 = 8,529.54 : x
  2. Step 2: Convert to fraction form
    21,009.81/31,514.09 = 8,529.54/x
  3. Step 3: Cross multiply
    21,009.81x = 31,514.09 × 8,529.54
  4. Step 4: Simplify right side
    21,009.81x = 268,800,648.57
  5. Step 5: Solve for x
    x = 268,800,648.57/21,009.81
  6. Step 6: Final answer
    x = 12,794.05

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1.5x scale

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.