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Finding the Fourth Proportional to 19,666, 29,504.76 and 5,815.36

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Solution

The fourth proportional to 19,666, 29,504.76 and 5,815.36 is: 8,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666 : 29,504.76 = 5,815.36 : x
  2. Step 2: Convert to fraction form
    19,666/29,504.76 = 5,815.36/x
  3. Step 3: Cross multiply
    19,666x = 29,504.76 × 5,815.36
  4. Step 4: Simplify right side
    19,666x = 171,580,801.11
  5. Step 5: Solve for x
    x = 171,580,801.11/19,666
  6. Step 6: Final answer
    x = 8,724.74

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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.