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Finding the Fourth Proportional to 4,928.56, 7,394.04 and 1,641.64

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Solution

The fourth proportional to 4,928.56, 7,394.04 and 1,641.64 is: 2,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.56 : 7,394.04 = 1,641.64 : x
  2. Step 2: Convert to fraction form
    4,928.56/7,394.04 = 1,641.64/x
  3. Step 3: Cross multiply
    4,928.56x = 7,394.04 × 1,641.64
  4. Step 4: Simplify right side
    4,928.56x = 12,138,351.83
  5. Step 5: Solve for x
    x = 12,138,351.83/4,928.56
  6. Step 6: Final answer
    x = 2,462.86

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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.