Home / 3,974.10-5,964.12-1,477.60

Finding the Fourth Proportional to 3,974.10, 5,964.12 and 1,477.60

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Solution

The fourth proportional to 3,974.10, 5,964.12 and 1,477.60 is: 2,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.10 : 5,964.12 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    3,974.10/5,964.12 = 1,477.60/x
  3. Step 3: Cross multiply
    3,974.10x = 5,964.12 × 1,477.60
  4. Step 4: Simplify right side
    3,974.10x = 8,812,583.71
  5. Step 5: Solve for x
    x = 8,812,583.71/3,974.10
  6. Step 6: Final answer
    x = 2,217.50

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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.