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Finding the Fourth Proportional to 5,456.48, 8,181.48 and 1,992.56

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Solution

The fourth proportional to 5,456.48, 8,181.48 and 1,992.56 is: 2,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.48 : 8,181.48 = 1,992.56 : x
  2. Step 2: Convert to fraction form
    5,456.48/8,181.48 = 1,992.56/x
  3. Step 3: Cross multiply
    5,456.48x = 8,181.48 × 1,992.56
  4. Step 4: Simplify right side
    5,456.48x = 16,302,089.79
  5. Step 5: Solve for x
    x = 16,302,089.79/5,456.48
  6. Step 6: Final answer
    x = 2,987.66

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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.