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Finding the Fourth Proportional to 2,829.48, 3,907.02 and 1,836.45

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Solution

The fourth proportional to 2,829.48, 3,907.02 and 1,836.45 is: 2,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.48 : 3,907.02 = 1,836.45 : x
  2. Step 2: Convert to fraction form
    2,829.48/3,907.02 = 1,836.45/x
  3. Step 3: Cross multiply
    2,829.48x = 3,907.02 × 1,836.45
  4. Step 4: Simplify right side
    2,829.48x = 7,175,046.88
  5. Step 5: Solve for x
    x = 7,175,046.88/2,829.48
  6. Step 6: Final answer
    x = 2,535.82

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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.