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Finding the Fourth Proportional to 21,009.38, 31,514.06 and 7,867.94

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Solution

The fourth proportional to 21,009.38, 31,514.06 and 7,867.94 is: 11,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.38 : 31,514.06 = 7,867.94 : x
  2. Step 2: Convert to fraction form
    21,009.38/31,514.06 = 7,867.94/x
  3. Step 3: Cross multiply
    21,009.38x = 31,514.06 × 7,867.94
  4. Step 4: Simplify right side
    21,009.38x = 247,950,595.34
  5. Step 5: Solve for x
    x = 247,950,595.34/21,009.38
  6. Step 6: Final answer
    x = 11,801.90

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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.