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Finding the Fourth Proportional to 3,891.63, 5,369.72 and 2,319.87

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Solution

The fourth proportional to 3,891.63, 5,369.72 and 2,319.87 is: 3,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.63 : 5,369.72 = 2,319.87 : x
  2. Step 2: Convert to fraction form
    3,891.63/5,369.72 = 2,319.87/x
  3. Step 3: Cross multiply
    3,891.63x = 5,369.72 × 2,319.87
  4. Step 4: Simplify right side
    3,891.63x = 12,457,040.74
  5. Step 5: Solve for x
    x = 12,457,040.74/3,891.63
  6. Step 6: Final answer
    x = 3,200.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.