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Finding the Fourth Proportional to 2,912.19, 4,367.40 and 832.05

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Solution

The fourth proportional to 2,912.19, 4,367.40 and 832.05 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.19 : 4,367.40 = 832.05 : x
  2. Step 2: Convert to fraction form
    2,912.19/4,367.40 = 832.05/x
  3. Step 3: Cross multiply
    2,912.19x = 4,367.40 × 832.05
  4. Step 4: Simplify right side
    2,912.19x = 3,633,895.17
  5. Step 5: Solve for x
    x = 3,633,895.17/2,912.19
  6. Step 6: Final answer
    x = 1,247.82

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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.