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Finding the Fourth Proportional to 2,256.42, 3,383 and 1,023.20

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Solution

The fourth proportional to 2,256.42, 3,383 and 1,023.20 is: 1,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.42 : 3,383 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    2,256.42/3,383 = 1,023.20/x
  3. Step 3: Cross multiply
    2,256.42x = 3,383 × 1,023.20
  4. Step 4: Simplify right side
    2,256.42x = 3,461,485.60
  5. Step 5: Solve for x
    x = 3,461,485.60/2,256.42
  6. Step 6: Final answer
    x = 1,534.06

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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.