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Finding the Fourth Proportional to 3,150.42, 4,725.78 and 810.44

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Solution

The fourth proportional to 3,150.42, 4,725.78 and 810.44 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.42 : 4,725.78 = 810.44 : x
  2. Step 2: Convert to fraction form
    3,150.42/4,725.78 = 810.44/x
  3. Step 3: Cross multiply
    3,150.42x = 4,725.78 × 810.44
  4. Step 4: Simplify right side
    3,150.42x = 3,829,961.14
  5. Step 5: Solve for x
    x = 3,829,961.14/3,150.42
  6. Step 6: Final answer
    x = 1,215.70

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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.