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Finding the Fourth Proportional to 4,978.32, 6,868.44 and 2,880.96

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Solution

The fourth proportional to 4,978.32, 6,868.44 and 2,880.96 is: 3,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.32 : 6,868.44 = 2,880.96 : x
  2. Step 2: Convert to fraction form
    4,978.32/6,868.44 = 2,880.96/x
  3. Step 3: Cross multiply
    4,978.32x = 6,868.44 × 2,880.96
  4. Step 4: Simplify right side
    4,978.32x = 19,787,700.90
  5. Step 5: Solve for x
    x = 19,787,700.90/4,978.32
  6. Step 6: Final answer
    x = 3,974.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.