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Finding the Fourth Proportional to 5,646.78, 8,479.89 and 3,051.54

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Solution

The fourth proportional to 5,646.78, 8,479.89 and 3,051.54 is: 4,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.78 : 8,479.89 = 3,051.54 : x
  2. Step 2: Convert to fraction form
    5,646.78/8,479.89 = 3,051.54/x
  3. Step 3: Cross multiply
    5,646.78x = 8,479.89 × 3,051.54
  4. Step 4: Simplify right side
    5,646.78x = 25,876,723.53
  5. Step 5: Solve for x
    x = 25,876,723.53/5,646.78
  6. Step 6: Final answer
    x = 4,582.56

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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.