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Finding the Fourth Proportional to 2,093.80, 3,142.43 and 1,054.10

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Solution

The fourth proportional to 2,093.80, 3,142.43 and 1,054.10 is: 1,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.80 : 3,142.43 = 1,054.10 : x
  2. Step 2: Convert to fraction form
    2,093.80/3,142.43 = 1,054.10/x
  3. Step 3: Cross multiply
    2,093.80x = 3,142.43 × 1,054.10
  4. Step 4: Simplify right side
    2,093.80x = 3,312,435.46
  5. Step 5: Solve for x
    x = 3,312,435.46/2,093.80
  6. Step 6: Final answer
    x = 1,582.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.