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Finding the Fourth Proportional to 19,536, 29,304.81 and 5,685

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Solution

The fourth proportional to 19,536, 29,304.81 and 5,685 is: 8,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 29,304.81 = 5,685 : x
  2. Step 2: Convert to fraction form
    19,536/29,304.81 = 5,685/x
  3. Step 3: Cross multiply
    19,536x = 29,304.81 × 5,685
  4. Step 4: Simplify right side
    19,536x = 166,597,844.85
  5. Step 5: Solve for x
    x = 166,597,844.85/19,536
  6. Step 6: Final answer
    x = 8,527.74

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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.