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Finding the Fourth Proportional to 6,477.98, 8,939.26 and 3,645.41

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Solution

The fourth proportional to 6,477.98, 8,939.26 and 3,645.41 is: 5,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.98 : 8,939.26 = 3,645.41 : x
  2. Step 2: Convert to fraction form
    6,477.98/8,939.26 = 3,645.41/x
  3. Step 3: Cross multiply
    6,477.98x = 8,939.26 × 3,645.41
  4. Step 4: Simplify right side
    6,477.98x = 32,587,227.66
  5. Step 5: Solve for x
    x = 32,587,227.66/6,477.98
  6. Step 6: Final answer
    x = 5,030.47

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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.