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Finding the Fourth Proportional to 21,655, 29,883.90 and 11,719

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Solution

The fourth proportional to 21,655, 29,883.90 and 11,719 is: 16,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655 : 29,883.90 = 11,719 : x
  2. Step 2: Convert to fraction form
    21,655/29,883.90 = 11,719/x
  3. Step 3: Cross multiply
    21,655x = 29,883.90 × 11,719
  4. Step 4: Simplify right side
    21,655x = 350,209,424.10
  5. Step 5: Solve for x
    x = 350,209,424.10/21,655
  6. Step 6: Final answer
    x = 16,172.22

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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.