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Finding the Fourth Proportional to 2,912.64, 4,019.31 and 1,586.22

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Solution

The fourth proportional to 2,912.64, 4,019.31 and 1,586.22 is: 2,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.64 : 4,019.31 = 1,586.22 : x
  2. Step 2: Convert to fraction form
    2,912.64/4,019.31 = 1,586.22/x
  3. Step 3: Cross multiply
    2,912.64x = 4,019.31 × 1,586.22
  4. Step 4: Simplify right side
    2,912.64x = 6,375,509.91
  5. Step 5: Solve for x
    x = 6,375,509.91/2,912.64
  6. Step 6: Final answer
    x = 2,188.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.