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Finding the Fourth Proportional to 2,217.30, 3,326.16 and 573.84

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Solution

The fourth proportional to 2,217.30, 3,326.16 and 573.84 is: 860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.30 : 3,326.16 = 573.84 : x
  2. Step 2: Convert to fraction form
    2,217.30/3,326.16 = 573.84/x
  3. Step 3: Cross multiply
    2,217.30x = 3,326.16 × 573.84
  4. Step 4: Simplify right side
    2,217.30x = 1,908,683.65
  5. Step 5: Solve for x
    x = 1,908,683.65/2,217.30
  6. Step 6: Final answer
    x = 860.81

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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.