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Finding the Fourth Proportional to 2,783.73, 4,151.02 and 2,758.73

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Solution

The fourth proportional to 2,783.73, 4,151.02 and 2,758.73 is: 4,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.73 : 4,151.02 = 2,758.73 : x
  2. Step 2: Convert to fraction form
    2,783.73/4,151.02 = 2,758.73/x
  3. Step 3: Cross multiply
    2,783.73x = 4,151.02 × 2,758.73
  4. Step 4: Simplify right side
    2,783.73x = 11,451,522.65
  5. Step 5: Solve for x
    x = 11,451,522.65/2,783.73
  6. Step 6: Final answer
    x = 4,113.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.