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Finding the Fourth Proportional to 2,586.36, 3,878.82 and 1,047

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Solution

The fourth proportional to 2,586.36, 3,878.82 and 1,047 is: 1,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.36 : 3,878.82 = 1,047 : x
  2. Step 2: Convert to fraction form
    2,586.36/3,878.82 = 1,047/x
  3. Step 3: Cross multiply
    2,586.36x = 3,878.82 × 1,047
  4. Step 4: Simplify right side
    2,586.36x = 4,061,124.54
  5. Step 5: Solve for x
    x = 4,061,124.54/2,586.36
  6. Step 6: Final answer
    x = 1,570.21

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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.