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Finding the Fourth Proportional to 5,407.44, 8,106.28 and 1,943.88

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Solution

The fourth proportional to 5,407.44, 8,106.28 and 1,943.88 is: 2,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.44 : 8,106.28 = 1,943.88 : x
  2. Step 2: Convert to fraction form
    5,407.44/8,106.28 = 1,943.88/x
  3. Step 3: Cross multiply
    5,407.44x = 8,106.28 × 1,943.88
  4. Step 4: Simplify right side
    5,407.44x = 15,757,635.57
  5. Step 5: Solve for x
    x = 15,757,635.57/5,407.44
  6. Step 6: Final answer
    x = 2,914.07

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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.