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Finding the Fourth Proportional to 3,975.84, 5,482.86 and 2,382.23

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Solution

The fourth proportional to 3,975.84, 5,482.86 and 2,382.23 is: 3,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.84 : 5,482.86 = 2,382.23 : x
  2. Step 2: Convert to fraction form
    3,975.84/5,482.86 = 2,382.23/x
  3. Step 3: Cross multiply
    3,975.84x = 5,482.86 × 2,382.23
  4. Step 4: Simplify right side
    3,975.84x = 13,061,406.16
  5. Step 5: Solve for x
    x = 13,061,406.16/3,975.84
  6. Step 6: Final answer
    x = 3,285.19

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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.