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Finding the Fourth Proportional to 6,494.04, 8,961.09 and 3,660.78

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Solution

The fourth proportional to 6,494.04, 8,961.09 and 3,660.78 is: 5,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.04 : 8,961.09 = 3,660.78 : x
  2. Step 2: Convert to fraction form
    6,494.04/8,961.09 = 3,660.78/x
  3. Step 3: Cross multiply
    6,494.04x = 8,961.09 × 3,660.78
  4. Step 4: Simplify right side
    6,494.04x = 32,804,579.05
  5. Step 5: Solve for x
    x = 32,804,579.05/6,494.04
  6. Step 6: Final answer
    x = 5,051.49

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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.