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Finding the Fourth Proportional to 5,291.84, 7,939.36 and 1,829.44

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Solution

The fourth proportional to 5,291.84, 7,939.36 and 1,829.44 is: 2,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.84 : 7,939.36 = 1,829.44 : x
  2. Step 2: Convert to fraction form
    5,291.84/7,939.36 = 1,829.44/x
  3. Step 3: Cross multiply
    5,291.84x = 7,939.36 × 1,829.44
  4. Step 4: Simplify right side
    5,291.84x = 14,524,582.76
  5. Step 5: Solve for x
    x = 14,524,582.76/5,291.84
  6. Step 6: Final answer
    x = 2,744.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.