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Finding the Fourth Proportional to 13,907.88, 19,192.68 and 7,939.80

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Solution

The fourth proportional to 13,907.88, 19,192.68 and 7,939.80 is: 10,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.88 : 19,192.68 = 7,939.80 : x
  2. Step 2: Convert to fraction form
    13,907.88/19,192.68 = 7,939.80/x
  3. Step 3: Cross multiply
    13,907.88x = 19,192.68 × 7,939.80
  4. Step 4: Simplify right side
    13,907.88x = 152,386,040.66
  5. Step 5: Solve for x
    x = 152,386,040.66/13,907.88
  6. Step 6: Final answer
    x = 10,956.81

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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.