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Finding the Fourth Proportional to 3,891.04, 5,832.36 and 1,918.04

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Solution

The fourth proportional to 3,891.04, 5,832.36 and 1,918.04 is: 2,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.04 : 5,832.36 = 1,918.04 : x
  2. Step 2: Convert to fraction form
    3,891.04/5,832.36 = 1,918.04/x
  3. Step 3: Cross multiply
    3,891.04x = 5,832.36 × 1,918.04
  4. Step 4: Simplify right side
    3,891.04x = 11,186,699.77
  5. Step 5: Solve for x
    x = 11,186,699.77/3,891.04
  6. Step 6: Final answer
    x = 2,874.99

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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.