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Finding the Fourth Proportional to 2,482.07, 3,723.45 and 838.79

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Solution

The fourth proportional to 2,482.07, 3,723.45 and 838.79 is: 1,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.07 : 3,723.45 = 838.79 : x
  2. Step 2: Convert to fraction form
    2,482.07/3,723.45 = 838.79/x
  3. Step 3: Cross multiply
    2,482.07x = 3,723.45 × 838.79
  4. Step 4: Simplify right side
    2,482.07x = 3,123,169.81
  5. Step 5: Solve for x
    x = 3,123,169.81/2,482.07
  6. Step 6: Final answer
    x = 1,258.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.