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Finding the Fourth Proportional to 21,666, 29,903.70 and 14,869.32

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Solution

The fourth proportional to 21,666, 29,903.70 and 14,869.32 is: 20,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666 : 29,903.70 = 14,869.32 : x
  2. Step 2: Convert to fraction form
    21,666/29,903.70 = 14,869.32/x
  3. Step 3: Cross multiply
    21,666x = 29,903.70 × 14,869.32
  4. Step 4: Simplify right side
    21,666x = 444,647,684.48
  5. Step 5: Solve for x
    x = 444,647,684.48/21,666
  6. Step 6: Final answer
    x = 20,522.83

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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.