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Finding the Fourth Proportional to 11,378.78, 15,696.72 and 7,835.84

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Solution

The fourth proportional to 11,378.78, 15,696.72 and 7,835.84 is: 10,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.78 : 15,696.72 = 7,835.84 : x
  2. Step 2: Convert to fraction form
    11,378.78/15,696.72 = 7,835.84/x
  3. Step 3: Cross multiply
    11,378.78x = 15,696.72 × 7,835.84
  4. Step 4: Simplify right side
    11,378.78x = 122,996,986.44
  5. Step 5: Solve for x
    x = 122,996,986.44/11,378.78
  6. Step 6: Final answer
    x = 10,809.33

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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.