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Finding the Fourth Proportional to 5,322.13, 7,341.20 and 3,827.68

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Solution

The fourth proportional to 5,322.13, 7,341.20 and 3,827.68 is: 5,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.13 : 7,341.20 = 3,827.68 : x
  2. Step 2: Convert to fraction form
    5,322.13/7,341.20 = 3,827.68/x
  3. Step 3: Cross multiply
    5,322.13x = 7,341.20 × 3,827.68
  4. Step 4: Simplify right side
    5,322.13x = 28,099,764.42
  5. Step 5: Solve for x
    x = 28,099,764.42/5,322.13
  6. Step 6: Final answer
    x = 5,279.80

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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.