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Finding the Fourth Proportional to 6,939.54, 9,577.71 and 6,517.80

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Solution

The fourth proportional to 6,939.54, 9,577.71 and 6,517.80 is: 8,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.54 : 9,577.71 = 6,517.80 : x
  2. Step 2: Convert to fraction form
    6,939.54/9,577.71 = 6,517.80/x
  3. Step 3: Cross multiply
    6,939.54x = 9,577.71 × 6,517.80
  4. Step 4: Simplify right side
    6,939.54x = 62,425,598.24
  5. Step 5: Solve for x
    x = 62,425,598.24/6,939.54
  6. Step 6: Final answer
    x = 8,995.64

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1.5x scale

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.