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Finding the Fourth Proportional to 7,782.89, 11,672.51 and 3,830.09

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Solution

The fourth proportional to 7,782.89, 11,672.51 and 3,830.09 is: 5,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.89 : 11,672.51 = 3,830.09 : x
  2. Step 2: Convert to fraction form
    7,782.89/11,672.51 = 3,830.09/x
  3. Step 3: Cross multiply
    7,782.89x = 11,672.51 × 3,830.09
  4. Step 4: Simplify right side
    7,782.89x = 44,706,686.31
  5. Step 5: Solve for x
    x = 44,706,686.31/7,782.89
  6. Step 6: Final answer
    x = 5,744.23

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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.