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Finding the Fourth Proportional to 3,409.98, 4,705.74 and 2,065.65

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Solution

The fourth proportional to 3,409.98, 4,705.74 and 2,065.65 is: 2,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.98 : 4,705.74 = 2,065.65 : x
  2. Step 2: Convert to fraction form
    3,409.98/4,705.74 = 2,065.65/x
  3. Step 3: Cross multiply
    3,409.98x = 4,705.74 × 2,065.65
  4. Step 4: Simplify right side
    3,409.98x = 9,720,411.83
  5. Step 5: Solve for x
    x = 9,720,411.83/3,409.98
  6. Step 6: Final answer
    x = 2,850.58

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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.