Home / 10,977.44-16,464.48-3,184.64

Finding the Fourth Proportional to 10,977.44, 16,464.48 and 3,184.64

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Solution

The fourth proportional to 10,977.44, 16,464.48 and 3,184.64 is: 4,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.44 : 16,464.48 = 3,184.64 : x
  2. Step 2: Convert to fraction form
    10,977.44/16,464.48 = 3,184.64/x
  3. Step 3: Cross multiply
    10,977.44x = 16,464.48 × 3,184.64
  4. Step 4: Simplify right side
    10,977.44x = 52,433,441.59
  5. Step 5: Solve for x
    x = 52,433,441.59/10,977.44
  6. Step 6: Final answer
    x = 4,776.47

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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.