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Finding the Fourth Proportional to 11,092.36, 15,311 and 6,379.80

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Solution

The fourth proportional to 11,092.36, 15,311 and 6,379.80 is: 8,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.36 : 15,311 = 6,379.80 : x
  2. Step 2: Convert to fraction form
    11,092.36/15,311 = 6,379.80/x
  3. Step 3: Cross multiply
    11,092.36x = 15,311 × 6,379.80
  4. Step 4: Simplify right side
    11,092.36x = 97,681,117.80
  5. Step 5: Solve for x
    x = 97,681,117.80/11,092.36
  6. Step 6: Final answer
    x = 8,806.16

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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.