Home / 1,320-1,977.93-1,182.30

Finding the Fourth Proportional to 1,320, 1,977.93 and 1,182.30

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Solution

The fourth proportional to 1,320, 1,977.93 and 1,182.30 is: 1,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320 : 1,977.93 = 1,182.30 : x
  2. Step 2: Convert to fraction form
    1,320/1,977.93 = 1,182.30/x
  3. Step 3: Cross multiply
    1,320x = 1,977.93 × 1,182.30
  4. Step 4: Simplify right side
    1,320x = 2,338,506.64
  5. Step 5: Solve for x
    x = 2,338,506.64/1,320
  6. Step 6: Final answer
    x = 1,771.60

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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.