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Finding the Fourth Proportional to 5,787.69, 8,681.09 and 2,089.92

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Solution

The fourth proportional to 5,787.69, 8,681.09 and 2,089.92 is: 3,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.69 : 8,681.09 = 2,089.92 : x
  2. Step 2: Convert to fraction form
    5,787.69/8,681.09 = 2,089.92/x
  3. Step 3: Cross multiply
    5,787.69x = 8,681.09 × 2,089.92
  4. Step 4: Simplify right side
    5,787.69x = 18,142,729.76
  5. Step 5: Solve for x
    x = 18,142,729.76/5,787.69
  6. Step 6: Final answer
    x = 3,134.71

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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.