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Finding the Fourth Proportional to 3,409.49, 4,706.00 and 1,993.51

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Solution

The fourth proportional to 3,409.49, 4,706.00 and 1,993.51 is: 2,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.49 : 4,706.00 = 1,993.51 : x
  2. Step 2: Convert to fraction form
    3,409.49/4,706.00 = 1,993.51/x
  3. Step 3: Cross multiply
    3,409.49x = 4,706.00 × 1,993.51
  4. Step 4: Simplify right side
    3,409.49x = 9,381,461.45
  5. Step 5: Solve for x
    x = 9,381,461.45/3,409.49
  6. Step 6: Final answer
    x = 2,751.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.