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Finding the Fourth Proportional to 2,978.54, 4,467.81 and 787.44

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Solution

The fourth proportional to 2,978.54, 4,467.81 and 787.44 is: 1,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.54 : 4,467.81 = 787.44 : x
  2. Step 2: Convert to fraction form
    2,978.54/4,467.81 = 787.44/x
  3. Step 3: Cross multiply
    2,978.54x = 4,467.81 × 787.44
  4. Step 4: Simplify right side
    2,978.54x = 3,518,122.45
  5. Step 5: Solve for x
    x = 3,518,122.45/2,978.54
  6. Step 6: Final answer
    x = 1,181.16

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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.