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Finding the Fourth Proportional to 2,674.81, 3,690.12 and 2,084.32

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Solution

The fourth proportional to 2,674.81, 3,690.12 and 2,084.32 is: 2,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.81 : 3,690.12 = 2,084.32 : x
  2. Step 2: Convert to fraction form
    2,674.81/3,690.12 = 2,084.32/x
  3. Step 3: Cross multiply
    2,674.81x = 3,690.12 × 2,084.32
  4. Step 4: Simplify right side
    2,674.81x = 7,691,390.92
  5. Step 5: Solve for x
    x = 7,691,390.92/2,674.81
  6. Step 6: Final answer
    x = 2,875.49

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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.