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Finding the Fourth Proportional to 11,761, 16,215.78 and 9,235.24

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Solution

The fourth proportional to 11,761, 16,215.78 and 9,235.24 is: 12,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 16,215.78 = 9,235.24 : x
  2. Step 2: Convert to fraction form
    11,761/16,215.78 = 9,235.24/x
  3. Step 3: Cross multiply
    11,761x = 16,215.78 × 9,235.24
  4. Step 4: Simplify right side
    11,761x = 149,756,620.09
  5. Step 5: Solve for x
    x = 149,756,620.09/11,761
  6. Step 6: Final answer
    x = 12,733.32

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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.