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Finding the Fourth Proportional to 3,778.56, 5,207.04 and 3,078.72

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Solution

The fourth proportional to 3,778.56, 5,207.04 and 3,078.72 is: 4,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,207.04 = 3,078.72 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,207.04 = 3,078.72/x
  3. Step 3: Cross multiply
    3,778.56x = 5,207.04 × 3,078.72
  4. Step 4: Simplify right side
    3,778.56x = 16,031,018.19
  5. Step 5: Solve for x
    x = 16,031,018.19/3,778.56
  6. Step 6: Final answer
    x = 4,242.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.