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Finding the Fourth Proportional to 19,129.82, 28,696.38 and 5,278.82

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Solution

The fourth proportional to 19,129.82, 28,696.38 and 5,278.82 is: 7,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.82 : 28,696.38 = 5,278.82 : x
  2. Step 2: Convert to fraction form
    19,129.82/28,696.38 = 5,278.82/x
  3. Step 3: Cross multiply
    19,129.82x = 28,696.38 × 5,278.82
  4. Step 4: Simplify right side
    19,129.82x = 151,483,024.67
  5. Step 5: Solve for x
    x = 151,483,024.67/19,129.82
  6. Step 6: Final answer
    x = 7,918.69

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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.