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Finding the Fourth Proportional to 3,864.60, 5,796.12 and 1,091.52

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Solution

The fourth proportional to 3,864.60, 5,796.12 and 1,091.52 is: 1,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.60 : 5,796.12 = 1,091.52 : x
  2. Step 2: Convert to fraction form
    3,864.60/5,796.12 = 1,091.52/x
  3. Step 3: Cross multiply
    3,864.60x = 5,796.12 × 1,091.52
  4. Step 4: Simplify right side
    3,864.60x = 6,326,580.90
  5. Step 5: Solve for x
    x = 6,326,580.90/3,864.60
  6. Step 6: Final answer
    x = 1,637.06

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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.