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Finding the Fourth Proportional to 2,242.32, 3,094.32 and 1,310.80

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Solution

The fourth proportional to 2,242.32, 3,094.32 and 1,310.80 is: 1,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.32 : 3,094.32 = 1,310.80 : x
  2. Step 2: Convert to fraction form
    2,242.32/3,094.32 = 1,310.80/x
  3. Step 3: Cross multiply
    2,242.32x = 3,094.32 × 1,310.80
  4. Step 4: Simplify right side
    2,242.32x = 4,056,034.66
  5. Step 5: Solve for x
    x = 4,056,034.66/2,242.32
  6. Step 6: Final answer
    x = 1,808.86

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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.