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Finding the Fourth Proportional to 5,379.66, 8,065.14 and 2,303.82

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Solution

The fourth proportional to 5,379.66, 8,065.14 and 2,303.82 is: 3,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379.66 : 8,065.14 = 2,303.82 : x
  2. Step 2: Convert to fraction form
    5,379.66/8,065.14 = 2,303.82/x
  3. Step 3: Cross multiply
    5,379.66x = 8,065.14 × 2,303.82
  4. Step 4: Simplify right side
    5,379.66x = 18,580,630.83
  5. Step 5: Solve for x
    x = 18,580,630.83/5,379.66
  6. Step 6: Final answer
    x = 3,453.87

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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.