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Finding the Fourth Proportional to 11,778.70, 16,268.97 and 8,807.68

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Solution

The fourth proportional to 11,778.70, 16,268.97 and 8,807.68 is: 12,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.70 : 16,268.97 = 8,807.68 : x
  2. Step 2: Convert to fraction form
    11,778.70/16,268.97 = 8,807.68/x
  3. Step 3: Cross multiply
    11,778.70x = 16,268.97 × 8,807.68
  4. Step 4: Simplify right side
    11,778.70x = 143,291,881.69
  5. Step 5: Solve for x
    x = 143,291,881.69/11,778.70
  6. Step 6: Final answer
    x = 12,165.34

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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.