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Finding the Fourth Proportional to 31,309.82, 43,212 and 19,377

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Solution

The fourth proportional to 31,309.82, 43,212 and 19,377 is: 26,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.82 : 43,212 = 19,377 : x
  2. Step 2: Convert to fraction form
    31,309.82/43,212 = 19,377/x
  3. Step 3: Cross multiply
    31,309.82x = 43,212 × 19,377
  4. Step 4: Simplify right side
    31,309.82x = 837,318,924
  5. Step 5: Solve for x
    x = 837,318,924/31,309.82
  6. Step 6: Final answer
    x = 26,743.01

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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.