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Finding the Fourth Proportional to 3,047.78, 4,205.93 and 1,650.53

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Solution

The fourth proportional to 3,047.78, 4,205.93 and 1,650.53 is: 2,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.78 : 4,205.93 = 1,650.53 : x
  2. Step 2: Convert to fraction form
    3,047.78/4,205.93 = 1,650.53/x
  3. Step 3: Cross multiply
    3,047.78x = 4,205.93 × 1,650.53
  4. Step 4: Simplify right side
    3,047.78x = 6,941,992.25
  5. Step 5: Solve for x
    x = 6,941,992.25/3,047.78
  6. Step 6: Final answer
    x = 2,277.72

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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.