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Finding the Fourth Proportional to 5,681.98, 8,523.84 and 1,786

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Solution

The fourth proportional to 5,681.98, 8,523.84 and 1,786 is: 2,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.98 : 8,523.84 = 1,786 : x
  2. Step 2: Convert to fraction form
    5,681.98/8,523.84 = 1,786/x
  3. Step 3: Cross multiply
    5,681.98x = 8,523.84 × 1,786
  4. Step 4: Simplify right side
    5,681.98x = 15,223,578.24
  5. Step 5: Solve for x
    x = 15,223,578.24/5,681.98
  6. Step 6: Final answer
    x = 2,679.27

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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.