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Finding the Fourth Proportional to 7,795.90, 11,686.90 and 3,409.89

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Solution

The fourth proportional to 7,795.90, 11,686.90 and 3,409.89 is: 5,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.90 : 11,686.90 = 3,409.89 : x
  2. Step 2: Convert to fraction form
    7,795.90/11,686.90 = 3,409.89/x
  3. Step 3: Cross multiply
    7,795.90x = 11,686.90 × 3,409.89
  4. Step 4: Simplify right side
    7,795.90x = 39,851,043.44
  5. Step 5: Solve for x
    x = 39,851,043.44/7,795.90
  6. Step 6: Final answer
    x = 5,111.80

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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.