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Finding the Fourth Proportional to 1,912.16, 2,862.16 and 1,649.72

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Solution

The fourth proportional to 1,912.16, 2,862.16 and 1,649.72 is: 2,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.16 : 2,862.16 = 1,649.72 : x
  2. Step 2: Convert to fraction form
    1,912.16/2,862.16 = 1,649.72/x
  3. Step 3: Cross multiply
    1,912.16x = 2,862.16 × 1,649.72
  4. Step 4: Simplify right side
    1,912.16x = 4,721,762.60
  5. Step 5: Solve for x
    x = 4,721,762.60/1,912.16
  6. Step 6: Final answer
    x = 2,469.33

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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.