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Finding the Fourth Proportional to 5,355.68, 8,034.56 and 1,893.20

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Solution

The fourth proportional to 5,355.68, 8,034.56 and 1,893.20 is: 2,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.68 : 8,034.56 = 1,893.20 : x
  2. Step 2: Convert to fraction form
    5,355.68/8,034.56 = 1,893.20/x
  3. Step 3: Cross multiply
    5,355.68x = 8,034.56 × 1,893.20
  4. Step 4: Simplify right side
    5,355.68x = 15,211,028.99
  5. Step 5: Solve for x
    x = 15,211,028.99/5,355.68
  6. Step 6: Final answer
    x = 2,840.17

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Why These Related Problems?

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