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Finding the Fourth Proportional to 21,208, 31,804 and 17,037.76

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Solution

The fourth proportional to 21,208, 31,804 and 17,037.76 is: 25,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208 : 31,804 = 17,037.76 : x
  2. Step 2: Convert to fraction form
    21,208/31,804 = 17,037.76/x
  3. Step 3: Cross multiply
    21,208x = 31,804 × 17,037.76
  4. Step 4: Simplify right side
    21,208x = 541,868,919.04
  5. Step 5: Solve for x
    x = 541,868,919.04/21,208
  6. Step 6: Final answer
    x = 25,550.21

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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.