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Finding the Fourth Proportional to 3,135.70, 4,700.85 and 1,901.80

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Solution

The fourth proportional to 3,135.70, 4,700.85 and 1,901.80 is: 2,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.70 : 4,700.85 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    3,135.70/4,700.85 = 1,901.80/x
  3. Step 3: Cross multiply
    3,135.70x = 4,700.85 × 1,901.80
  4. Step 4: Simplify right side
    3,135.70x = 8,940,076.53
  5. Step 5: Solve for x
    x = 8,940,076.53/3,135.70
  6. Step 6: Final answer
    x = 2,851.06

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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.