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Finding the Fourth Proportional to 2,769.48, 4,147.74 and 2,076.84

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Solution

The fourth proportional to 2,769.48, 4,147.74 and 2,076.84 is: 3,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.48 : 4,147.74 = 2,076.84 : x
  2. Step 2: Convert to fraction form
    2,769.48/4,147.74 = 2,076.84/x
  3. Step 3: Cross multiply
    2,769.48x = 4,147.74 × 2,076.84
  4. Step 4: Simplify right side
    2,769.48x = 8,614,192.34
  5. Step 5: Solve for x
    x = 8,614,192.34/2,769.48
  6. Step 6: Final answer
    x = 3,110.40

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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.