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Finding the Fourth Proportional to 1,943.55, 2,682.12 and 1,146.90

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Solution

The fourth proportional to 1,943.55, 2,682.12 and 1,146.90 is: 1,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.55 : 2,682.12 = 1,146.90 : x
  2. Step 2: Convert to fraction form
    1,943.55/2,682.12 = 1,146.90/x
  3. Step 3: Cross multiply
    1,943.55x = 2,682.12 × 1,146.90
  4. Step 4: Simplify right side
    1,943.55x = 3,076,123.43
  5. Step 5: Solve for x
    x = 3,076,123.43/1,943.55
  6. Step 6: Final answer
    x = 1,582.73

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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.