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Finding the Fourth Proportional to 11,675.70, 16,111.83 and 6,639.24

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Solution

The fourth proportional to 11,675.70, 16,111.83 and 6,639.24 is: 9,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.70 : 16,111.83 = 6,639.24 : x
  2. Step 2: Convert to fraction form
    11,675.70/16,111.83 = 6,639.24/x
  3. Step 3: Cross multiply
    11,675.70x = 16,111.83 × 6,639.24
  4. Step 4: Simplify right side
    11,675.70x = 106,970,306.21
  5. Step 5: Solve for x
    x = 106,970,306.21/11,675.70
  6. Step 6: Final answer
    x = 9,161.79

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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.