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Finding the Fourth Proportional to 7,734.88, 10,676.64 and 5,744.80

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Solution

The fourth proportional to 7,734.88, 10,676.64 and 5,744.80 is: 7,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.88 : 10,676.64 = 5,744.80 : x
  2. Step 2: Convert to fraction form
    7,734.88/10,676.64 = 5,744.80/x
  3. Step 3: Cross multiply
    7,734.88x = 10,676.64 × 5,744.80
  4. Step 4: Simplify right side
    7,734.88x = 61,335,161.47
  5. Step 5: Solve for x
    x = 61,335,161.47/7,734.88
  6. Step 6: Final answer
    x = 7,929.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.