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Finding the Fourth Proportional to 2,805.88, 4,210.36 and 1,052.09

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Solution

The fourth proportional to 2,805.88, 4,210.36 and 1,052.09 is: 1,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.88 : 4,210.36 = 1,052.09 : x
  2. Step 2: Convert to fraction form
    2,805.88/4,210.36 = 1,052.09/x
  3. Step 3: Cross multiply
    2,805.88x = 4,210.36 × 1,052.09
  4. Step 4: Simplify right side
    2,805.88x = 4,429,677.65
  5. Step 5: Solve for x
    x = 4,429,677.65/2,805.88
  6. Step 6: Final answer
    x = 1,578.71

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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.