Home / 4,976.64-7,466.04-2,782.80

Finding the Fourth Proportional to 4,976.64, 7,466.04 and 2,782.80

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Solution

The fourth proportional to 4,976.64, 7,466.04 and 2,782.80 is: 4,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.64 : 7,466.04 = 2,782.80 : x
  2. Step 2: Convert to fraction form
    4,976.64/7,466.04 = 2,782.80/x
  3. Step 3: Cross multiply
    4,976.64x = 7,466.04 × 2,782.80
  4. Step 4: Simplify right side
    4,976.64x = 20,776,496.11
  5. Step 5: Solve for x
    x = 20,776,496.11/4,976.64
  6. Step 6: Final answer
    x = 4,174.80

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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.