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Finding the Fourth Proportional to 4,787.92, 7,184.36 and 1,978.84

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Solution

The fourth proportional to 4,787.92, 7,184.36 and 1,978.84 is: 2,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.92 : 7,184.36 = 1,978.84 : x
  2. Step 2: Convert to fraction form
    4,787.92/7,184.36 = 1,978.84/x
  3. Step 3: Cross multiply
    4,787.92x = 7,184.36 × 1,978.84
  4. Step 4: Simplify right side
    4,787.92x = 14,216,698.94
  5. Step 5: Solve for x
    x = 14,216,698.94/4,787.92
  6. Step 6: Final answer
    x = 2,969.28

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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.