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Finding the Fourth Proportional to 3,047.19, 4,205.13 and 1,649.94

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Solution

The fourth proportional to 3,047.19, 4,205.13 and 1,649.94 is: 2,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.19 : 4,205.13 = 1,649.94 : x
  2. Step 2: Convert to fraction form
    3,047.19/4,205.13 = 1,649.94/x
  3. Step 3: Cross multiply
    3,047.19x = 4,205.13 × 1,649.94
  4. Step 4: Simplify right side
    3,047.19x = 6,938,212.19
  5. Step 5: Solve for x
    x = 6,938,212.19/3,047.19
  6. Step 6: Final answer
    x = 2,276.92

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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.