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Finding the Fourth Proportional to 2,768.48, 4,152.72 and 1,900.16

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Solution

The fourth proportional to 2,768.48, 4,152.72 and 1,900.16 is: 2,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.48 : 4,152.72 = 1,900.16 : x
  2. Step 2: Convert to fraction form
    2,768.48/4,152.72 = 1,900.16/x
  3. Step 3: Cross multiply
    2,768.48x = 4,152.72 × 1,900.16
  4. Step 4: Simplify right side
    2,768.48x = 7,890,832.44
  5. Step 5: Solve for x
    x = 7,890,832.44/2,768.48
  6. Step 6: Final answer
    x = 2,850.24

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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.