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Finding the Fourth Proportional to 12,743, 19,115.22 and 4,535

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Solution

The fourth proportional to 12,743, 19,115.22 and 4,535 is: 6,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743 : 19,115.22 = 4,535 : x
  2. Step 2: Convert to fraction form
    12,743/19,115.22 = 4,535/x
  3. Step 3: Cross multiply
    12,743x = 19,115.22 × 4,535
  4. Step 4: Simplify right side
    12,743x = 86,687,522.70
  5. Step 5: Solve for x
    x = 86,687,522.70/12,743
  6. Step 6: Final answer
    x = 6,802.76

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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.