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Finding the Fourth Proportional to 2,290.84, 3,412.13 and 2,242.84

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Solution

The fourth proportional to 2,290.84, 3,412.13 and 2,242.84 is: 3,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.84 : 3,412.13 = 2,242.84 : x
  2. Step 2: Convert to fraction form
    2,290.84/3,412.13 = 2,242.84/x
  3. Step 3: Cross multiply
    2,290.84x = 3,412.13 × 2,242.84
  4. Step 4: Simplify right side
    2,290.84x = 7,652,861.65
  5. Step 5: Solve for x
    x = 7,652,861.65/2,290.84
  6. Step 6: Final answer
    x = 3,340.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.