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Finding the Fourth Proportional to 1,842, 2,542.20 and 1,143.60

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Solution

The fourth proportional to 1,842, 2,542.20 and 1,143.60 is: 1,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842 : 2,542.20 = 1,143.60 : x
  2. Step 2: Convert to fraction form
    1,842/2,542.20 = 1,143.60/x
  3. Step 3: Cross multiply
    1,842x = 2,542.20 × 1,143.60
  4. Step 4: Simplify right side
    1,842x = 2,907,259.92
  5. Step 5: Solve for x
    x = 2,907,259.92/1,842
  6. Step 6: Final answer
    x = 1,578.32

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Why These Related Problems?

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