Home / 4,643-6,964.82-1,522.18

Finding the Fourth Proportional to 4,643, 6,964.82 and 1,522.18

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Solution

The fourth proportional to 4,643, 6,964.82 and 1,522.18 is: 2,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643 : 6,964.82 = 1,522.18 : x
  2. Step 2: Convert to fraction form
    4,643/6,964.82 = 1,522.18/x
  3. Step 3: Cross multiply
    4,643x = 6,964.82 × 1,522.18
  4. Step 4: Simplify right side
    4,643x = 10,601,709.71
  5. Step 5: Solve for x
    x = 10,601,709.71/4,643
  6. Step 6: Final answer
    x = 2,283.37

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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.