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Finding the Fourth Proportional to 2,607.90, 3,912.90 and 964.54

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Solution

The fourth proportional to 2,607.90, 3,912.90 and 964.54 is: 1,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.90 : 3,912.90 = 964.54 : x
  2. Step 2: Convert to fraction form
    2,607.90/3,912.90 = 964.54/x
  3. Step 3: Cross multiply
    2,607.90x = 3,912.90 × 964.54
  4. Step 4: Simplify right side
    2,607.90x = 3,774,148.57
  5. Step 5: Solve for x
    x = 3,774,148.57/2,607.90
  6. Step 6: Final answer
    x = 1,447.20

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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.