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Finding the Fourth Proportional to 20,952.90, 31,433.98 and 6,917.26

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Solution

The fourth proportional to 20,952.90, 31,433.98 and 6,917.26 is: 10,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.90 : 31,433.98 = 6,917.26 : x
  2. Step 2: Convert to fraction form
    20,952.90/31,433.98 = 6,917.26/x
  3. Step 3: Cross multiply
    20,952.90x = 31,433.98 × 6,917.26
  4. Step 4: Simplify right side
    20,952.90x = 217,437,012.49
  5. Step 5: Solve for x
    x = 217,437,012.49/20,952.90
  6. Step 6: Final answer
    x = 10,377.42

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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.