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Finding the Fourth Proportional to 13,975.68, 19,288 and 8,008

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Solution

The fourth proportional to 13,975.68, 19,288 and 8,008 is: 11,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975.68 : 19,288 = 8,008 : x
  2. Step 2: Convert to fraction form
    13,975.68/19,288 = 8,008/x
  3. Step 3: Cross multiply
    13,975.68x = 19,288 × 8,008
  4. Step 4: Simplify right side
    13,975.68x = 154,458,304
  5. Step 5: Solve for x
    x = 154,458,304/13,975.68
  6. Step 6: Final answer
    x = 11,051.93

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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.