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Finding the Fourth Proportional to 3,660.40, 5,492.40 and 2,782.60

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Solution

The fourth proportional to 3,660.40, 5,492.40 and 2,782.60 is: 4,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.40 : 5,492.40 = 2,782.60 : x
  2. Step 2: Convert to fraction form
    3,660.40/5,492.40 = 2,782.60/x
  3. Step 3: Cross multiply
    3,660.40x = 5,492.40 × 2,782.60
  4. Step 4: Simplify right side
    3,660.40x = 15,283,152.24
  5. Step 5: Solve for x
    x = 15,283,152.24/3,660.40
  6. Step 6: Final answer
    x = 4,175.27

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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.