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Finding the Fourth Proportional to 11,713.60, 16,164.76 and 6,408.48

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Solution

The fourth proportional to 11,713.60, 16,164.76 and 6,408.48 is: 8,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.60 : 16,164.76 = 6,408.48 : x
  2. Step 2: Convert to fraction form
    11,713.60/16,164.76 = 6,408.48/x
  3. Step 3: Cross multiply
    11,713.60x = 16,164.76 × 6,408.48
  4. Step 4: Simplify right side
    11,713.60x = 103,591,541.16
  5. Step 5: Solve for x
    x = 103,591,541.16/11,713.60
  6. Step 6: Final answer
    x = 8,843.70

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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.