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Finding the Fourth Proportional to 4,613.94, 6,365.21 and 3,121.34

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Solution

The fourth proportional to 4,613.94, 6,365.21 and 3,121.34 is: 4,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.94 : 6,365.21 = 3,121.34 : x
  2. Step 2: Convert to fraction form
    4,613.94/6,365.21 = 3,121.34/x
  3. Step 3: Cross multiply
    4,613.94x = 6,365.21 × 3,121.34
  4. Step 4: Simplify right side
    4,613.94x = 19,867,937.15
  5. Step 5: Solve for x
    x = 19,867,937.15/4,613.94
  6. Step 6: Final answer
    x = 4,306.07

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