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Finding the Fourth Proportional to 2,912.44, 4,368.76 and 964.59

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Solution

The fourth proportional to 2,912.44, 4,368.76 and 964.59 is: 1,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.44 : 4,368.76 = 964.59 : x
  2. Step 2: Convert to fraction form
    2,912.44/4,368.76 = 964.59/x
  3. Step 3: Cross multiply
    2,912.44x = 4,368.76 × 964.59
  4. Step 4: Simplify right side
    2,912.44x = 4,214,062.21
  5. Step 5: Solve for x
    x = 4,214,062.21/2,912.44
  6. Step 6: Final answer
    x = 1,446.92

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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.