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Finding the Fourth Proportional to 2,520.70, 3,785.10 and 1,905.10

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Solution

The fourth proportional to 2,520.70, 3,785.10 and 1,905.10 is: 2,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.70 : 3,785.10 = 1,905.10 : x
  2. Step 2: Convert to fraction form
    2,520.70/3,785.10 = 1,905.10/x
  3. Step 3: Cross multiply
    2,520.70x = 3,785.10 × 1,905.10
  4. Step 4: Simplify right side
    2,520.70x = 7,210,994.01
  5. Step 5: Solve for x
    x = 7,210,994.01/2,520.70
  6. Step 6: Final answer
    x = 2,860.71

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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.