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Finding the Fourth Proportional to 2,305.22, 3,455.73 and 918.24

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Solution

The fourth proportional to 2,305.22, 3,455.73 and 918.24 is: 1,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.22 : 3,455.73 = 918.24 : x
  2. Step 2: Convert to fraction form
    2,305.22/3,455.73 = 918.24/x
  3. Step 3: Cross multiply
    2,305.22x = 3,455.73 × 918.24
  4. Step 4: Simplify right side
    2,305.22x = 3,173,189.52
  5. Step 5: Solve for x
    x = 3,173,189.52/2,305.22
  6. Step 6: Final answer
    x = 1,376.53

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1.5x scale

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.