Home / 1,322.54-1,980.85-1,297.14

Finding the Fourth Proportional to 1,322.54, 1,980.85 and 1,297.14

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Solution

The fourth proportional to 1,322.54, 1,980.85 and 1,297.14 is: 1,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.54 : 1,980.85 = 1,297.14 : x
  2. Step 2: Convert to fraction form
    1,322.54/1,980.85 = 1,297.14/x
  3. Step 3: Cross multiply
    1,322.54x = 1,980.85 × 1,297.14
  4. Step 4: Simplify right side
    1,322.54x = 2,569,439.77
  5. Step 5: Solve for x
    x = 2,569,439.77/1,322.54
  6. Step 6: Final answer
    x = 1,942.81

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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.