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Finding the Fourth Proportional to 2,285.64, 3,429.15 and 968.71

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Solution

The fourth proportional to 2,285.64, 3,429.15 and 968.71 is: 1,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.64 : 3,429.15 = 968.71 : x
  2. Step 2: Convert to fraction form
    2,285.64/3,429.15 = 968.71/x
  3. Step 3: Cross multiply
    2,285.64x = 3,429.15 × 968.71
  4. Step 4: Simplify right side
    2,285.64x = 3,321,851.90
  5. Step 5: Solve for x
    x = 3,321,851.90/2,285.64
  6. Step 6: Final answer
    x = 1,453.36

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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.