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Finding the Fourth Proportional to 3,890.84, 5,370.32 and 2,318.63

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Solution

The fourth proportional to 3,890.84, 5,370.32 and 2,318.63 is: 3,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.84 : 5,370.32 = 2,318.63 : x
  2. Step 2: Convert to fraction form
    3,890.84/5,370.32 = 2,318.63/x
  3. Step 3: Cross multiply
    3,890.84x = 5,370.32 × 2,318.63
  4. Step 4: Simplify right side
    3,890.84x = 12,451,764.01
  5. Step 5: Solve for x
    x = 12,451,764.01/3,890.84
  6. Step 6: Final answer
    x = 3,200.28

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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.