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Finding the Fourth Proportional to 3,170.53, 4,377.48 and 1,975.99

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Solution

The fourth proportional to 3,170.53, 4,377.48 and 1,975.99 is: 2,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.53 : 4,377.48 = 1,975.99 : x
  2. Step 2: Convert to fraction form
    3,170.53/4,377.48 = 1,975.99/x
  3. Step 3: Cross multiply
    3,170.53x = 4,377.48 × 1,975.99
  4. Step 4: Simplify right side
    3,170.53x = 8,649,846.83
  5. Step 5: Solve for x
    x = 8,649,846.83/3,170.53
  6. Step 6: Final answer
    x = 2,728.20

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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.