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Finding the Fourth Proportional to 34,487.81, 51,694.94 and 19,664.81

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Solution

The fourth proportional to 34,487.81, 51,694.94 and 19,664.81 is: 29,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,487.81 : 51,694.94 = 19,664.81 : x
  2. Step 2: Convert to fraction form
    34,487.81/51,694.94 = 19,664.81/x
  3. Step 3: Cross multiply
    34,487.81x = 51,694.94 × 19,664.81
  4. Step 4: Simplify right side
    34,487.81x = 1,016,570,816.26
  5. Step 5: Solve for x
    x = 1,016,570,816.26/34,487.81
  6. Step 6: Final answer
    x = 29,476.24

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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.