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Finding the Fourth Proportional to 2,340.12, 3,506.07 and 2,085.90

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Solution

The fourth proportional to 2,340.12, 3,506.07 and 2,085.90 is: 3,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.12 : 3,506.07 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    2,340.12/3,506.07 = 2,085.90/x
  3. Step 3: Cross multiply
    2,340.12x = 3,506.07 × 2,085.90
  4. Step 4: Simplify right side
    2,340.12x = 7,313,311.41
  5. Step 5: Solve for x
    x = 7,313,311.41/2,340.12
  6. Step 6: Final answer
    x = 3,125.19

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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.