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Finding the Fourth Proportional to 6,006.78, 8,289 and 3,488.72

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Solution

The fourth proportional to 6,006.78, 8,289 and 3,488.72 is: 4,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.78 : 8,289 = 3,488.72 : x
  2. Step 2: Convert to fraction form
    6,006.78/8,289 = 3,488.72/x
  3. Step 3: Cross multiply
    6,006.78x = 8,289 × 3,488.72
  4. Step 4: Simplify right side
    6,006.78x = 28,917,958.64
  5. Step 5: Solve for x
    x = 28,917,958.64/6,006.78
  6. Step 6: Final answer
    x = 4,814.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.