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Finding the Fourth Proportional to 19,443, 26,831.34 and 10,611

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Solution

The fourth proportional to 19,443, 26,831.34 and 10,611 is: 14,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 26,831.34 = 10,611 : x
  2. Step 2: Convert to fraction form
    19,443/26,831.34 = 10,611/x
  3. Step 3: Cross multiply
    19,443x = 26,831.34 × 10,611
  4. Step 4: Simplify right side
    19,443x = 284,707,348.74
  5. Step 5: Solve for x
    x = 284,707,348.74/19,443
  6. Step 6: Final answer
    x = 14,643.18

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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.