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Finding the Fourth Proportional to 3,808.64, 5,703.64 and 3,439.28

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Solution

The fourth proportional to 3,808.64, 5,703.64 and 3,439.28 is: 5,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.64 : 5,703.64 = 3,439.28 : x
  2. Step 2: Convert to fraction form
    3,808.64/5,703.64 = 3,439.28/x
  3. Step 3: Cross multiply
    3,808.64x = 5,703.64 × 3,439.28
  4. Step 4: Simplify right side
    3,808.64x = 19,616,414.98
  5. Step 5: Solve for x
    x = 19,616,414.98/3,808.64
  6. Step 6: Final answer
    x = 5,150.50

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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.