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Finding the Fourth Proportional to 5,643.78, 8,466.57 and 1,747.38

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Solution

The fourth proportional to 5,643.78, 8,466.57 and 1,747.38 is: 2,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.78 : 8,466.57 = 1,747.38 : x
  2. Step 2: Convert to fraction form
    5,643.78/8,466.57 = 1,747.38/x
  3. Step 3: Cross multiply
    5,643.78x = 8,466.57 × 1,747.38
  4. Step 4: Simplify right side
    5,643.78x = 14,794,315.09
  5. Step 5: Solve for x
    x = 14,794,315.09/5,643.78
  6. Step 6: Final answer
    x = 2,621.35

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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.