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Finding the Fourth Proportional to 11,211.82, 15,472.71 and 6,965.22

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Solution

The fourth proportional to 11,211.82, 15,472.71 and 6,965.22 is: 9,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.82 : 15,472.71 = 6,965.22 : x
  2. Step 2: Convert to fraction form
    11,211.82/15,472.71 = 6,965.22/x
  3. Step 3: Cross multiply
    11,211.82x = 15,472.71 × 6,965.22
  4. Step 4: Simplify right side
    11,211.82x = 107,770,829.15
  5. Step 5: Solve for x
    x = 107,770,829.15/11,211.82
  6. Step 6: Final answer
    x = 9,612.26

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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.