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Finding the Fourth Proportional to 11,920.98, 17,881.47 and 4,129.77

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Solution

The fourth proportional to 11,920.98, 17,881.47 and 4,129.77 is: 6,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.98 : 17,881.47 = 4,129.77 : x
  2. Step 2: Convert to fraction form
    11,920.98/17,881.47 = 4,129.77/x
  3. Step 3: Cross multiply
    11,920.98x = 17,881.47 × 4,129.77
  4. Step 4: Simplify right side
    11,920.98x = 73,846,358.36
  5. Step 5: Solve for x
    x = 73,846,358.36/11,920.98
  6. Step 6: Final answer
    x = 6,194.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.