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Finding the Fourth Proportional to 4,992.81, 7,490.83 and 4,257.96

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Solution

The fourth proportional to 4,992.81, 7,490.83 and 4,257.96 is: 6,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.81 : 7,490.83 = 4,257.96 : x
  2. Step 2: Convert to fraction form
    4,992.81/7,490.83 = 4,257.96/x
  3. Step 3: Cross multiply
    4,992.81x = 7,490.83 × 4,257.96
  4. Step 4: Simplify right side
    4,992.81x = 31,895,654.51
  5. Step 5: Solve for x
    x = 31,895,654.51/4,992.81
  6. Step 6: Final answer
    x = 6,388.32

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1.5x scale

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.