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Finding the Fourth Proportional to 13,125, 19,690.74 and 3,891

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Solution

The fourth proportional to 13,125, 19,690.74 and 3,891 is: 5,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125 : 19,690.74 = 3,891 : x
  2. Step 2: Convert to fraction form
    13,125/19,690.74 = 3,891/x
  3. Step 3: Cross multiply
    13,125x = 19,690.74 × 3,891
  4. Step 4: Simplify right side
    13,125x = 76,616,669.34
  5. Step 5: Solve for x
    x = 76,616,669.34/13,125
  6. Step 6: Final answer
    x = 5,837.46

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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.