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Finding the Fourth Proportional to 3,954.56, 5,460.80 and 2,560.64

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Solution

The fourth proportional to 3,954.56, 5,460.80 and 2,560.64 is: 3,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.56 : 5,460.80 = 2,560.64 : x
  2. Step 2: Convert to fraction form
    3,954.56/5,460.80 = 2,560.64/x
  3. Step 3: Cross multiply
    3,954.56x = 5,460.80 × 2,560.64
  4. Step 4: Simplify right side
    3,954.56x = 13,983,142.91
  5. Step 5: Solve for x
    x = 13,983,142.91/3,954.56
  6. Step 6: Final answer
    x = 3,535.95

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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.