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Finding the Fourth Proportional to 5,375.85, 8,064.80 and 1,865.72

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Solution

The fourth proportional to 5,375.85, 8,064.80 and 1,865.72 is: 2,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.85 : 8,064.80 = 1,865.72 : x
  2. Step 2: Convert to fraction form
    5,375.85/8,064.80 = 1,865.72/x
  3. Step 3: Cross multiply
    5,375.85x = 8,064.80 × 1,865.72
  4. Step 4: Simplify right side
    5,375.85x = 15,046,609.00
  5. Step 5: Solve for x
    x = 15,046,609.00/5,375.85
  6. Step 6: Final answer
    x = 2,798.93

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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.