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Finding the Fourth Proportional to 11,768.58, 16,223.49 and 8,405.46

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Solution

The fourth proportional to 11,768.58, 16,223.49 and 8,405.46 is: 11,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.58 : 16,223.49 = 8,405.46 : x
  2. Step 2: Convert to fraction form
    11,768.58/16,223.49 = 8,405.46/x
  3. Step 3: Cross multiply
    11,768.58x = 16,223.49 × 8,405.46
  4. Step 4: Simplify right side
    11,768.58x = 136,365,896.26
  5. Step 5: Solve for x
    x = 136,365,896.26/11,768.58
  6. Step 6: Final answer
    x = 11,587.29

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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.