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Finding the Fourth Proportional to 11,917.86, 17,796.54 and 9,730.86

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Solution

The fourth proportional to 11,917.86, 17,796.54 and 9,730.86 is: 14,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.86 : 17,796.54 = 9,730.86 : x
  2. Step 2: Convert to fraction form
    11,917.86/17,796.54 = 9,730.86/x
  3. Step 3: Cross multiply
    11,917.86x = 17,796.54 × 9,730.86
  4. Step 4: Simplify right side
    11,917.86x = 173,175,639.22
  5. Step 5: Solve for x
    x = 173,175,639.22/11,917.86
  6. Step 6: Final answer
    x = 14,530.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.