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Finding the Fourth Proportional to 2,242.41, 3,095.15 and 1,311.09

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Solution

The fourth proportional to 2,242.41, 3,095.15 and 1,311.09 is: 1,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.41 : 3,095.15 = 1,311.09 : x
  2. Step 2: Convert to fraction form
    2,242.41/3,095.15 = 1,311.09/x
  3. Step 3: Cross multiply
    2,242.41x = 3,095.15 × 1,311.09
  4. Step 4: Simplify right side
    2,242.41x = 4,058,013.66
  5. Step 5: Solve for x
    x = 4,058,013.66/2,242.41
  6. Step 6: Final answer
    x = 1,809.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.