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Finding the Fourth Proportional to 6,412.78, 8,849.03 and 3,579.93

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Solution

The fourth proportional to 6,412.78, 8,849.03 and 3,579.93 is: 4,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.78 : 8,849.03 = 3,579.93 : x
  2. Step 2: Convert to fraction form
    6,412.78/8,849.03 = 3,579.93/x
  3. Step 3: Cross multiply
    6,412.78x = 8,849.03 × 3,579.93
  4. Step 4: Simplify right side
    6,412.78x = 31,678,890.07
  5. Step 5: Solve for x
    x = 31,678,890.07/6,412.78
  6. Step 6: Final answer
    x = 4,939.96

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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.