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Finding the Fourth Proportional to 5,159.44, 7,739.16 and 3,106.96

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Solution

The fourth proportional to 5,159.44, 7,739.16 and 3,106.96 is: 4,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.44 : 7,739.16 = 3,106.96 : x
  2. Step 2: Convert to fraction form
    5,159.44/7,739.16 = 3,106.96/x
  3. Step 3: Cross multiply
    5,159.44x = 7,739.16 × 3,106.96
  4. Step 4: Simplify right side
    5,159.44x = 24,045,260.55
  5. Step 5: Solve for x
    x = 24,045,260.55/5,159.44
  6. Step 6: Final answer
    x = 4,660.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.