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Finding the Fourth Proportional to 3,954.64, 5,934.40 and 3,585.20

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Solution

The fourth proportional to 3,954.64, 5,934.40 and 3,585.20 is: 5,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.64 : 5,934.40 = 3,585.20 : x
  2. Step 2: Convert to fraction form
    3,954.64/5,934.40 = 3,585.20/x
  3. Step 3: Cross multiply
    3,954.64x = 5,934.40 × 3,585.20
  4. Step 4: Simplify right side
    3,954.64x = 21,276,010.88
  5. Step 5: Solve for x
    x = 21,276,010.88/3,954.64
  6. Step 6: Final answer
    x = 5,380.01

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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.