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Finding the Fourth Proportional to 2,912.46, 4,368.09 and 832.02

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Solution

The fourth proportional to 2,912.46, 4,368.09 and 832.02 is: 1,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.46 : 4,368.09 = 832.02 : x
  2. Step 2: Convert to fraction form
    2,912.46/4,368.09 = 832.02/x
  3. Step 3: Cross multiply
    2,912.46x = 4,368.09 × 832.02
  4. Step 4: Simplify right side
    2,912.46x = 3,634,338.24
  5. Step 5: Solve for x
    x = 3,634,338.24/2,912.46
  6. Step 6: Final answer
    x = 1,247.86

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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.