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Finding the Fourth Proportional to 5,685.85, 8,516.43 and 2,758

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Solution

The fourth proportional to 5,685.85, 8,516.43 and 2,758 is: 4,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.85 : 8,516.43 = 2,758 : x
  2. Step 2: Convert to fraction form
    5,685.85/8,516.43 = 2,758/x
  3. Step 3: Cross multiply
    5,685.85x = 8,516.43 × 2,758
  4. Step 4: Simplify right side
    5,685.85x = 23,488,313.94
  5. Step 5: Solve for x
    x = 23,488,313.94/5,685.85
  6. Step 6: Final answer
    x = 4,131.01

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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.