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Finding the Fourth Proportional to 2,701.34, 4,043.10 and 1,909.16

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Solution

The fourth proportional to 2,701.34, 4,043.10 and 1,909.16 is: 2,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.34 : 4,043.10 = 1,909.16 : x
  2. Step 2: Convert to fraction form
    2,701.34/4,043.10 = 1,909.16/x
  3. Step 3: Cross multiply
    2,701.34x = 4,043.10 × 1,909.16
  4. Step 4: Simplify right side
    2,701.34x = 7,718,924.80
  5. Step 5: Solve for x
    x = 7,718,924.80/2,701.34
  6. Step 6: Final answer
    x = 2,857.44

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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.