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Finding the Fourth Proportional to 21,208.70, 31,808.93 and 6,414.14

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Solution

The fourth proportional to 21,208.70, 31,808.93 and 6,414.14 is: 9,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.70 : 31,808.93 = 6,414.14 : x
  2. Step 2: Convert to fraction form
    21,208.70/31,808.93 = 6,414.14/x
  3. Step 3: Cross multiply
    21,208.70x = 31,808.93 × 6,414.14
  4. Step 4: Simplify right side
    21,208.70x = 204,026,977.72
  5. Step 5: Solve for x
    x = 204,026,977.72/21,208.70
  6. Step 6: Final answer
    x = 9,619.97

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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.