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Finding the Fourth Proportional to 3,045.58, 4,202.93 and 1,648.33

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Solution

The fourth proportional to 3,045.58, 4,202.93 and 1,648.33 is: 2,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.58 : 4,202.93 = 1,648.33 : x
  2. Step 2: Convert to fraction form
    3,045.58/4,202.93 = 1,648.33/x
  3. Step 3: Cross multiply
    3,045.58x = 4,202.93 × 1,648.33
  4. Step 4: Simplify right side
    3,045.58x = 6,927,815.61
  5. Step 5: Solve for x
    x = 6,927,815.61/3,045.58
  6. Step 6: Final answer
    x = 2,274.71

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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.