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Finding the Fourth Proportional to 2,828.20, 4,242.90 and 853.90

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Solution

The fourth proportional to 2,828.20, 4,242.90 and 853.90 is: 1,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.20 : 4,242.90 = 853.90 : x
  2. Step 2: Convert to fraction form
    2,828.20/4,242.90 = 853.90/x
  3. Step 3: Cross multiply
    2,828.20x = 4,242.90 × 853.90
  4. Step 4: Simplify right side
    2,828.20x = 3,623,012.31
  5. Step 5: Solve for x
    x = 3,623,012.31/2,828.20
  6. Step 6: Final answer
    x = 1,281.03

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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.