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Finding the Fourth Proportional to 13,821, 19,073.79 and 7,852.92

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Solution

The fourth proportional to 13,821, 19,073.79 and 7,852.92 is: 10,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821 : 19,073.79 = 7,852.92 : x
  2. Step 2: Convert to fraction form
    13,821/19,073.79 = 7,852.92/x
  3. Step 3: Cross multiply
    13,821x = 19,073.79 × 7,852.92
  4. Step 4: Simplify right side
    13,821x = 149,784,946.97
  5. Step 5: Solve for x
    x = 149,784,946.97/13,821
  6. Step 6: Final answer
    x = 10,837.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.