Home / 1,977.32-2,964.47-1,197.14

Finding the Fourth Proportional to 1,977.32, 2,964.47 and 1,197.14

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Solution

The fourth proportional to 1,977.32, 2,964.47 and 1,197.14 is: 1,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.32 : 2,964.47 = 1,197.14 : x
  2. Step 2: Convert to fraction form
    1,977.32/2,964.47 = 1,197.14/x
  3. Step 3: Cross multiply
    1,977.32x = 2,964.47 × 1,197.14
  4. Step 4: Simplify right side
    1,977.32x = 3,548,864.81
  5. Step 5: Solve for x
    x = 3,548,864.81/1,977.32
  6. Step 6: Final answer
    x = 1,794.78

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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.