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Finding the Fourth Proportional to 2,878.68, 4,318.43 and 1,029.41

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Solution

The fourth proportional to 2,878.68, 4,318.43 and 1,029.41 is: 1,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.68 : 4,318.43 = 1,029.41 : x
  2. Step 2: Convert to fraction form
    2,878.68/4,318.43 = 1,029.41/x
  3. Step 3: Cross multiply
    2,878.68x = 4,318.43 × 1,029.41
  4. Step 4: Simplify right side
    2,878.68x = 4,445,408.29
  5. Step 5: Solve for x
    x = 4,445,408.29/2,878.68
  6. Step 6: Final answer
    x = 1,544.25

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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.