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Finding the Fourth Proportional to 5,681.30, 8,522.43 and 1,786.82

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Solution

The fourth proportional to 5,681.30, 8,522.43 and 1,786.82 is: 2,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.30 : 8,522.43 = 1,786.82 : x
  2. Step 2: Convert to fraction form
    5,681.30/8,522.43 = 1,786.82/x
  3. Step 3: Cross multiply
    5,681.30x = 8,522.43 × 1,786.82
  4. Step 4: Simplify right side
    5,681.30x = 15,228,048.37
  5. Step 5: Solve for x
    x = 15,228,048.37/5,681.30
  6. Step 6: Final answer
    x = 2,680.38

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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.