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Finding the Fourth Proportional to 2,114.40, 2,912.04 and 1,920

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Solution

The fourth proportional to 2,114.40, 2,912.04 and 1,920 is: 2,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 2,912.04 = 1,920 : x
  2. Step 2: Convert to fraction form
    2,114.40/2,912.04 = 1,920/x
  3. Step 3: Cross multiply
    2,114.40x = 2,912.04 × 1,920
  4. Step 4: Simplify right side
    2,114.40x = 5,591,116.80
  5. Step 5: Solve for x
    x = 5,591,116.80/2,114.40
  6. Step 6: Final answer
    x = 2,644.30

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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.