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Finding the Fourth Proportional to 1,941.43, 2,909.82 and 900.02

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Solution

The fourth proportional to 1,941.43, 2,909.82 and 900.02 is: 1,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.43 : 2,909.82 = 900.02 : x
  2. Step 2: Convert to fraction form
    1,941.43/2,909.82 = 900.02/x
  3. Step 3: Cross multiply
    1,941.43x = 2,909.82 × 900.02
  4. Step 4: Simplify right side
    1,941.43x = 2,618,896.20
  5. Step 5: Solve for x
    x = 2,618,896.20/1,941.43
  6. Step 6: Final answer
    x = 1,348.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.