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Finding the Fourth Proportional to 1,842.16, 2,542.36 and 1,375.60

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Solution

The fourth proportional to 1,842.16, 2,542.36 and 1,375.60 is: 1,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.16 : 2,542.36 = 1,375.60 : x
  2. Step 2: Convert to fraction form
    1,842.16/2,542.36 = 1,375.60/x
  3. Step 3: Cross multiply
    1,842.16x = 2,542.36 × 1,375.60
  4. Step 4: Simplify right side
    1,842.16x = 3,497,270.42
  5. Step 5: Solve for x
    x = 3,497,270.42/1,842.16
  6. Step 6: Final answer
    x = 1,898.46

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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.