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Finding the Fourth Proportional to 1,811.42, 2,500.82 and 1,148.84

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Solution

The fourth proportional to 1,811.42, 2,500.82 and 1,148.84 is: 1,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.42 : 2,500.82 = 1,148.84 : x
  2. Step 2: Convert to fraction form
    1,811.42/2,500.82 = 1,148.84/x
  3. Step 3: Cross multiply
    1,811.42x = 2,500.82 × 1,148.84
  4. Step 4: Simplify right side
    1,811.42x = 2,873,042.05
  5. Step 5: Solve for x
    x = 2,873,042.05/1,811.42
  6. Step 6: Final answer
    x = 1,586.07

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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.