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Finding the Fourth Proportional to 4,980.80, 7,464.80 and 3,820.80

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Solution

The fourth proportional to 4,980.80, 7,464.80 and 3,820.80 is: 5,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.80 : 7,464.80 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    4,980.80/7,464.80 = 3,820.80/x
  3. Step 3: Cross multiply
    4,980.80x = 7,464.80 × 3,820.80
  4. Step 4: Simplify right side
    4,980.80x = 28,521,507.84
  5. Step 5: Solve for x
    x = 28,521,507.84/4,980.80
  6. Step 6: Final answer
    x = 5,726.29

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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.