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Finding the Fourth Proportional to 2,150.02, 3,225.57 and 689.32

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Solution

The fourth proportional to 2,150.02, 3,225.57 and 689.32 is: 1,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.02 : 3,225.57 = 689.32 : x
  2. Step 2: Convert to fraction form
    2,150.02/3,225.57 = 689.32/x
  3. Step 3: Cross multiply
    2,150.02x = 3,225.57 × 689.32
  4. Step 4: Simplify right side
    2,150.02x = 2,223,449.91
  5. Step 5: Solve for x
    x = 2,223,449.91/2,150.02
  6. Step 6: Final answer
    x = 1,034.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.