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Finding the Fourth Proportional to 1,900.26, 2,849.68 and 926.03

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Solution

The fourth proportional to 1,900.26, 2,849.68 and 926.03 is: 1,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.26 : 2,849.68 = 926.03 : x
  2. Step 2: Convert to fraction form
    1,900.26/2,849.68 = 926.03/x
  3. Step 3: Cross multiply
    1,900.26x = 2,849.68 × 926.03
  4. Step 4: Simplify right side
    1,900.26x = 2,638,897.45
  5. Step 5: Solve for x
    x = 2,638,897.45/1,900.26
  6. Step 6: Final answer
    x = 1,388.70

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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.