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Finding the Fourth Proportional to 11,376.99, 15,695.91 and 8,399.97

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Solution

The fourth proportional to 11,376.99, 15,695.91 and 8,399.97 is: 11,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.99 : 15,695.91 = 8,399.97 : x
  2. Step 2: Convert to fraction form
    11,376.99/15,695.91 = 8,399.97/x
  3. Step 3: Cross multiply
    11,376.99x = 15,695.91 × 8,399.97
  4. Step 4: Simplify right side
    11,376.99x = 131,845,173.12
  5. Step 5: Solve for x
    x = 131,845,173.12/11,376.99
  6. Step 6: Final answer
    x = 11,588.76

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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.