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Finding the Fourth Proportional to 3,916.02, 5,400.96 and 3,442.91

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Solution

The fourth proportional to 3,916.02, 5,400.96 and 3,442.91 is: 4,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.02 : 5,400.96 = 3,442.91 : x
  2. Step 2: Convert to fraction form
    3,916.02/5,400.96 = 3,442.91/x
  3. Step 3: Cross multiply
    3,916.02x = 5,400.96 × 3,442.91
  4. Step 4: Simplify right side
    3,916.02x = 18,594,998.64
  5. Step 5: Solve for x
    x = 18,594,998.64/3,916.02
  6. Step 6: Final answer
    x = 4,748.44

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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.