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Finding the Fourth Proportional to 21,005.46, 31,513.09 and 6,964.46

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Solution

The fourth proportional to 21,005.46, 31,513.09 and 6,964.46 is: 10,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.46 : 31,513.09 = 6,964.46 : x
  2. Step 2: Convert to fraction form
    21,005.46/31,513.09 = 6,964.46/x
  3. Step 3: Cross multiply
    21,005.46x = 31,513.09 × 6,964.46
  4. Step 4: Simplify right side
    21,005.46x = 219,471,654.78
  5. Step 5: Solve for x
    x = 219,471,654.78/21,005.46
  6. Step 6: Final answer
    x = 10,448.31

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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.