Home / 4,106-6,158.88-1,184.30

Finding the Fourth Proportional to 4,106, 6,158.88 and 1,184.30

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Solution

The fourth proportional to 4,106, 6,158.88 and 1,184.30 is: 1,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 6,158.88 = 1,184.30 : x
  2. Step 2: Convert to fraction form
    4,106/6,158.88 = 1,184.30/x
  3. Step 3: Cross multiply
    4,106x = 6,158.88 × 1,184.30
  4. Step 4: Simplify right side
    4,106x = 7,293,961.58
  5. Step 5: Solve for x
    x = 7,293,961.58/4,106
  6. Step 6: Final answer
    x = 1,776.42

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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.