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Finding the Fourth Proportional to 3,048.50, 4,206.96 and 1,651.28

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Solution

The fourth proportional to 3,048.50, 4,206.96 and 1,651.28 is: 2,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.50 : 4,206.96 = 1,651.28 : x
  2. Step 2: Convert to fraction form
    3,048.50/4,206.96 = 1,651.28/x
  3. Step 3: Cross multiply
    3,048.50x = 4,206.96 × 1,651.28
  4. Step 4: Simplify right side
    3,048.50x = 6,946,868.91
  5. Step 5: Solve for x
    x = 6,946,868.91/3,048.50
  6. Step 6: Final answer
    x = 2,278.78

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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.