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Finding the Fourth Proportional to 2,522.98, 3,784.12 and 674.10

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Solution

The fourth proportional to 2,522.98, 3,784.12 and 674.10 is: 1,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.98 : 3,784.12 = 674.10 : x
  2. Step 2: Convert to fraction form
    2,522.98/3,784.12 = 674.10/x
  3. Step 3: Cross multiply
    2,522.98x = 3,784.12 × 674.10
  4. Step 4: Simplify right side
    2,522.98x = 2,550,875.29
  5. Step 5: Solve for x
    x = 2,550,875.29/2,522.98
  6. Step 6: Final answer
    x = 1,011.06

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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.