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Finding the Fourth Proportional to 2,104.40, 2,902.80 and 1,264.64

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Solution

The fourth proportional to 2,104.40, 2,902.80 and 1,264.64 is: 1,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.40 : 2,902.80 = 1,264.64 : x
  2. Step 2: Convert to fraction form
    2,104.40/2,902.80 = 1,264.64/x
  3. Step 3: Cross multiply
    2,104.40x = 2,902.80 × 1,264.64
  4. Step 4: Simplify right side
    2,104.40x = 3,670,996.99
  5. Step 5: Solve for x
    x = 3,670,996.99/2,104.40
  6. Step 6: Final answer
    x = 1,744.44

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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.