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Finding the Fourth Proportional to 4,900.64, 7,345.20 and 3,794.72

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Solution

The fourth proportional to 4,900.64, 7,345.20 and 3,794.72 is: 5,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.64 : 7,345.20 = 3,794.72 : x
  2. Step 2: Convert to fraction form
    4,900.64/7,345.20 = 3,794.72/x
  3. Step 3: Cross multiply
    4,900.64x = 7,345.20 × 3,794.72
  4. Step 4: Simplify right side
    4,900.64x = 27,872,977.34
  5. Step 5: Solve for x
    x = 27,872,977.34/4,900.64
  6. Step 6: Final answer
    x = 5,687.62

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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.