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Finding the Fourth Proportional to 1,342.82, 1,851.98 and 1,012.28

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Solution

The fourth proportional to 1,342.82, 1,851.98 and 1,012.28 is: 1,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.82 : 1,851.98 = 1,012.28 : x
  2. Step 2: Convert to fraction form
    1,342.82/1,851.98 = 1,012.28/x
  3. Step 3: Cross multiply
    1,342.82x = 1,851.98 × 1,012.28
  4. Step 4: Simplify right side
    1,342.82x = 1,874,722.31
  5. Step 5: Solve for x
    x = 1,874,722.31/1,342.82
  6. Step 6: Final answer
    x = 1,396.11

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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.