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Finding the Fourth Proportional to 3,892.56, 5,369.28 and 3,106.32

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Solution

The fourth proportional to 3,892.56, 5,369.28 and 3,106.32 is: 4,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.56 : 5,369.28 = 3,106.32 : x
  2. Step 2: Convert to fraction form
    3,892.56/5,369.28 = 3,106.32/x
  3. Step 3: Cross multiply
    3,892.56x = 5,369.28 × 3,106.32
  4. Step 4: Simplify right side
    3,892.56x = 16,678,701.85
  5. Step 5: Solve for x
    x = 16,678,701.85/3,892.56
  6. Step 6: Final answer
    x = 4,284.76

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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.