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Finding the Fourth Proportional to 1,182.73, 1,620.35 and 1,138.40

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Solution

The fourth proportional to 1,182.73, 1,620.35 and 1,138.40 is: 1,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.73 : 1,620.35 = 1,138.40 : x
  2. Step 2: Convert to fraction form
    1,182.73/1,620.35 = 1,138.40/x
  3. Step 3: Cross multiply
    1,182.73x = 1,620.35 × 1,138.40
  4. Step 4: Simplify right side
    1,182.73x = 1,844,606.44
  5. Step 5: Solve for x
    x = 1,844,606.44/1,182.73
  6. Step 6: Final answer
    x = 1,559.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.