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Finding the Fourth Proportional to 3,546.64, 4,848.80 and 3,410.56

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Solution

The fourth proportional to 3,546.64, 4,848.80 and 3,410.56 is: 4,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.64 : 4,848.80 = 3,410.56 : x
  2. Step 2: Convert to fraction form
    3,546.64/4,848.80 = 3,410.56/x
  3. Step 3: Cross multiply
    3,546.64x = 4,848.80 × 3,410.56
  4. Step 4: Simplify right side
    3,546.64x = 16,537,123.33
  5. Step 5: Solve for x
    x = 16,537,123.33/3,546.64
  6. Step 6: Final answer
    x = 4,662.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.