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Finding the Fourth Proportional to 1,271.90, 1,908.46 and 1,099.64

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Solution

The fourth proportional to 1,271.90, 1,908.46 and 1,099.64 is: 1,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.90 : 1,908.46 = 1,099.64 : x
  2. Step 2: Convert to fraction form
    1,271.90/1,908.46 = 1,099.64/x
  3. Step 3: Cross multiply
    1,271.90x = 1,908.46 × 1,099.64
  4. Step 4: Simplify right side
    1,271.90x = 2,098,625.10
  5. Step 5: Solve for x
    x = 2,098,625.10/1,271.90
  6. Step 6: Final answer
    x = 1,649.99

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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.