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Finding the Fourth Proportional to 6,476.94, 8,939.10 and 3,644.54

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Solution

The fourth proportional to 6,476.94, 8,939.10 and 3,644.54 is: 5,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.94 : 8,939.10 = 3,644.54 : x
  2. Step 2: Convert to fraction form
    6,476.94/8,939.10 = 3,644.54/x
  3. Step 3: Cross multiply
    6,476.94x = 8,939.10 × 3,644.54
  4. Step 4: Simplify right side
    6,476.94x = 32,578,907.51
  5. Step 5: Solve for x
    x = 32,578,907.51/6,476.94
  6. Step 6: Final answer
    x = 5,029.98

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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.