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Finding the Fourth Proportional to 2,081.52, 2,871.18 and 1,492.92

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Solution

The fourth proportional to 2,081.52, 2,871.18 and 1,492.92 is: 2,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.52 : 2,871.18 = 1,492.92 : x
  2. Step 2: Convert to fraction form
    2,081.52/2,871.18 = 1,492.92/x
  3. Step 3: Cross multiply
    2,081.52x = 2,871.18 × 1,492.92
  4. Step 4: Simplify right side
    2,081.52x = 4,286,442.05
  5. Step 5: Solve for x
    x = 4,286,442.05/2,081.52
  6. Step 6: Final answer
    x = 2,059.28

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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.