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Finding the Fourth Proportional to 6,939.74, 9,577.97 and 5,159.05

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Solution

The fourth proportional to 6,939.74, 9,577.97 and 5,159.05 is: 7,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.74 : 9,577.97 = 5,159.05 : x
  2. Step 2: Convert to fraction form
    6,939.74/9,577.97 = 5,159.05/x
  3. Step 3: Cross multiply
    6,939.74x = 9,577.97 × 5,159.05
  4. Step 4: Simplify right side
    6,939.74x = 49,413,215.08
  5. Step 5: Solve for x
    x = 49,413,215.08/6,939.74
  6. Step 6: Final answer
    x = 7,120.32

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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.