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Finding the Fourth Proportional to 19,141.38, 28,721.79 and 9,907.38

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Solution

The fourth proportional to 19,141.38, 28,721.79 and 9,907.38 is: 14,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.38 : 28,721.79 = 9,907.38 : x
  2. Step 2: Convert to fraction form
    19,141.38/28,721.79 = 9,907.38/x
  3. Step 3: Cross multiply
    19,141.38x = 28,721.79 × 9,907.38
  4. Step 4: Simplify right side
    19,141.38x = 284,557,687.81
  5. Step 5: Solve for x
    x = 284,557,687.81/19,141.38
  6. Step 6: Final answer
    x = 14,866.10

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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.