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Finding the Fourth Proportional to 31,683, 43,722.54 and 19,108.92

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Solution

The fourth proportional to 31,683, 43,722.54 and 19,108.92 is: 26,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683 : 43,722.54 = 19,108.92 : x
  2. Step 2: Convert to fraction form
    31,683/43,722.54 = 19,108.92/x
  3. Step 3: Cross multiply
    31,683x = 43,722.54 × 19,108.92
  4. Step 4: Simplify right side
    31,683x = 835,490,519.06
  5. Step 5: Solve for x
    x = 835,490,519.06/31,683
  6. Step 6: Final answer
    x = 26,370.31

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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.