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Finding the Fourth Proportional to 7,443, 11,164.55 and 2,826

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Solution

The fourth proportional to 7,443, 11,164.55 and 2,826 is: 4,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 11,164.55 = 2,826 : x
  2. Step 2: Convert to fraction form
    7,443/11,164.55 = 2,826/x
  3. Step 3: Cross multiply
    7,443x = 11,164.55 × 2,826
  4. Step 4: Simplify right side
    7,443x = 31,551,004.17
  5. Step 5: Solve for x
    x = 31,551,004.17/7,443
  6. Step 6: Final answer
    x = 4,239.02

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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.