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Finding the Fourth Proportional to 3,206.67, 4,809.04 and 1,357.74

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Solution

The fourth proportional to 3,206.67, 4,809.04 and 1,357.74 is: 2,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.67 : 4,809.04 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    3,206.67/4,809.04 = 1,357.74/x
  3. Step 3: Cross multiply
    3,206.67x = 4,809.04 × 1,357.74
  4. Step 4: Simplify right side
    3,206.67x = 6,529,425.97
  5. Step 5: Solve for x
    x = 6,529,425.97/3,206.67
  6. Step 6: Final answer
    x = 2,036.20

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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.