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Finding the Fourth Proportional to 2,131.98, 3,197.05 and 744.90

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Solution

The fourth proportional to 2,131.98, 3,197.05 and 744.90 is: 1,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.98 : 3,197.05 = 744.90 : x
  2. Step 2: Convert to fraction form
    2,131.98/3,197.05 = 744.90/x
  3. Step 3: Cross multiply
    2,131.98x = 3,197.05 × 744.90
  4. Step 4: Simplify right side
    2,131.98x = 2,381,482.55
  5. Step 5: Solve for x
    x = 2,381,482.55/2,131.98
  6. Step 6: Final answer
    x = 1,117.03

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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.