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Finding the Fourth Proportional to 2,534.40, 3,797.01 and 2,126.16

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Solution

The fourth proportional to 2,534.40, 3,797.01 and 2,126.16 is: 3,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.40 : 3,797.01 = 2,126.16 : x
  2. Step 2: Convert to fraction form
    2,534.40/3,797.01 = 2,126.16/x
  3. Step 3: Cross multiply
    2,534.40x = 3,797.01 × 2,126.16
  4. Step 4: Simplify right side
    2,534.40x = 8,073,050.78
  5. Step 5: Solve for x
    x = 8,073,050.78/2,534.40
  6. Step 6: Final answer
    x = 3,185.39

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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.