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Finding the Fourth Proportional to 5,356.40, 8,032.80 and 1,892.84

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Solution

The fourth proportional to 5,356.40, 8,032.80 and 1,892.84 is: 2,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.40 : 8,032.80 = 1,892.84 : x
  2. Step 2: Convert to fraction form
    5,356.40/8,032.80 = 1,892.84/x
  3. Step 3: Cross multiply
    5,356.40x = 8,032.80 × 1,892.84
  4. Step 4: Simplify right side
    5,356.40x = 15,204,805.15
  5. Step 5: Solve for x
    x = 15,204,805.15/5,356.40
  6. Step 6: Final answer
    x = 2,838.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.