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Finding the Fourth Proportional to 11,708.72, 16,156.44 and 6,992

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Solution

The fourth proportional to 11,708.72, 16,156.44 and 6,992 is: 9,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.72 : 16,156.44 = 6,992 : x
  2. Step 2: Convert to fraction form
    11,708.72/16,156.44 = 6,992/x
  3. Step 3: Cross multiply
    11,708.72x = 16,156.44 × 6,992
  4. Step 4: Simplify right side
    11,708.72x = 112,965,828.48
  5. Step 5: Solve for x
    x = 112,965,828.48/11,708.72
  6. Step 6: Final answer
    x = 9,648.01

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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.