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Finding the Fourth Proportional to 21,305.31, 31,958.07 and 6,514.17

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Solution

The fourth proportional to 21,305.31, 31,958.07 and 6,514.17 is: 9,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.31 : 31,958.07 = 6,514.17 : x
  2. Step 2: Convert to fraction form
    21,305.31/31,958.07 = 6,514.17/x
  3. Step 3: Cross multiply
    21,305.31x = 31,958.07 × 6,514.17
  4. Step 4: Simplify right side
    21,305.31x = 208,180,300.85
  5. Step 5: Solve for x
    x = 208,180,300.85/21,305.31
  6. Step 6: Final answer
    x = 9,771.29

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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.