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Finding the Fourth Proportional to 5,368.66, 7,409.68 and 3,131.84

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Solution

The fourth proportional to 5,368.66, 7,409.68 and 3,131.84 is: 4,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.66 : 7,409.68 = 3,131.84 : x
  2. Step 2: Convert to fraction form
    5,368.66/7,409.68 = 3,131.84/x
  3. Step 3: Cross multiply
    5,368.66x = 7,409.68 × 3,131.84
  4. Step 4: Simplify right side
    5,368.66x = 23,205,932.21
  5. Step 5: Solve for x
    x = 23,205,932.21/5,368.66
  6. Step 6: Final answer
    x = 4,322.48

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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.