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Finding the Fourth Proportional to 1,617.36, 2,423.48 and 967.28

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Solution

The fourth proportional to 1,617.36, 2,423.48 and 967.28 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.36 : 2,423.48 = 967.28 : x
  2. Step 2: Convert to fraction form
    1,617.36/2,423.48 = 967.28/x
  3. Step 3: Cross multiply
    1,617.36x = 2,423.48 × 967.28
  4. Step 4: Simplify right side
    1,617.36x = 2,344,183.73
  5. Step 5: Solve for x
    x = 2,344,183.73/1,617.36
  6. Step 6: Final answer
    x = 1,449.39

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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.