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Finding the Fourth Proportional to 21,683, 32,469.38 and 19,686.08

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Solution

The fourth proportional to 21,683, 32,469.38 and 19,686.08 is: 29,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683 : 32,469.38 = 19,686.08 : x
  2. Step 2: Convert to fraction form
    21,683/32,469.38 = 19,686.08/x
  3. Step 3: Cross multiply
    21,683x = 32,469.38 × 19,686.08
  4. Step 4: Simplify right side
    21,683x = 639,194,812.23
  5. Step 5: Solve for x
    x = 639,194,812.23/21,683
  6. Step 6: Final answer
    x = 29,479.08

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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.