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Finding the Fourth Proportional to 3,099.05, 4,648.72 and 878.05

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Solution

The fourth proportional to 3,099.05, 4,648.72 and 878.05 is: 1,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.05 : 4,648.72 = 878.05 : x
  2. Step 2: Convert to fraction form
    3,099.05/4,648.72 = 878.05/x
  3. Step 3: Cross multiply
    3,099.05x = 4,648.72 × 878.05
  4. Step 4: Simplify right side
    3,099.05x = 4,081,804.21
  5. Step 5: Solve for x
    x = 4,081,804.21/3,099.05
  6. Step 6: Final answer
    x = 1,317.11

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Why These Related Problems?

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