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Finding the Fourth Proportional to 5,382.84, 7,421.17 and 3,701.28

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Solution

The fourth proportional to 5,382.84, 7,421.17 and 3,701.28 is: 5,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.84 : 7,421.17 = 3,701.28 : x
  2. Step 2: Convert to fraction form
    5,382.84/7,421.17 = 3,701.28/x
  3. Step 3: Cross multiply
    5,382.84x = 7,421.17 × 3,701.28
  4. Step 4: Simplify right side
    5,382.84x = 27,467,811.87
  5. Step 5: Solve for x
    x = 27,467,811.87/5,382.84
  6. Step 6: Final answer
    x = 5,102.85

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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.