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Finding the Fourth Proportional to 7,260, 10,891.62 and 2,643

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Solution

The fourth proportional to 7,260, 10,891.62 and 2,643 is: 3,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260 : 10,891.62 = 2,643 : x
  2. Step 2: Convert to fraction form
    7,260/10,891.62 = 2,643/x
  3. Step 3: Cross multiply
    7,260x = 10,891.62 × 2,643
  4. Step 4: Simplify right side
    7,260x = 28,786,551.66
  5. Step 5: Solve for x
    x = 28,786,551.66/7,260
  6. Step 6: Final answer
    x = 3,965.09

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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.