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Finding the Fourth Proportional to 19,660, 27,130.80 and 10,828

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Solution

The fourth proportional to 19,660, 27,130.80 and 10,828 is: 14,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 27,130.80 = 10,828 : x
  2. Step 2: Convert to fraction form
    19,660/27,130.80 = 10,828/x
  3. Step 3: Cross multiply
    19,660x = 27,130.80 × 10,828
  4. Step 4: Simplify right side
    19,660x = 293,772,302.40
  5. Step 5: Solve for x
    x = 293,772,302.40/19,660
  6. Step 6: Final answer
    x = 14,942.64

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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.