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Finding the Fourth Proportional to 2,808.94, 4,210.45 and 1,052.80

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Solution

The fourth proportional to 2,808.94, 4,210.45 and 1,052.80 is: 1,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.94 : 4,210.45 = 1,052.80 : x
  2. Step 2: Convert to fraction form
    2,808.94/4,210.45 = 1,052.80/x
  3. Step 3: Cross multiply
    2,808.94x = 4,210.45 × 1,052.80
  4. Step 4: Simplify right side
    2,808.94x = 4,432,735.44
  5. Step 5: Solve for x
    x = 4,432,735.44/2,808.94
  6. Step 6: Final answer
    x = 1,578.08

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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.