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Finding the Fourth Proportional to 5,755.65, 8,628.20 and 1,858.05

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Solution

The fourth proportional to 5,755.65, 8,628.20 and 1,858.05 is: 2,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.65 : 8,628.20 = 1,858.05 : x
  2. Step 2: Convert to fraction form
    5,755.65/8,628.20 = 1,858.05/x
  3. Step 3: Cross multiply
    5,755.65x = 8,628.20 × 1,858.05
  4. Step 4: Simplify right side
    5,755.65x = 16,031,617.72
  5. Step 5: Solve for x
    x = 16,031,617.72/5,755.65
  6. Step 6: Final answer
    x = 2,785.37

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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.