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Finding the Fourth Proportional to 8,290.70, 11,436.80 and 5,141.42

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Solution

The fourth proportional to 8,290.70, 11,436.80 and 5,141.42 is: 7,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.70 : 11,436.80 = 5,141.42 : x
  2. Step 2: Convert to fraction form
    8,290.70/11,436.80 = 5,141.42/x
  3. Step 3: Cross multiply
    8,290.70x = 11,436.80 × 5,141.42
  4. Step 4: Simplify right side
    8,290.70x = 58,801,309.36
  5. Step 5: Solve for x
    x = 58,801,309.36/8,290.70
  6. Step 6: Final answer
    x = 7,092.45

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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.