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Finding the Fourth Proportional to 2,827.66, 4,240.68 and 853.21

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Solution

The fourth proportional to 2,827.66, 4,240.68 and 853.21 is: 1,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.66 : 4,240.68 = 853.21 : x
  2. Step 2: Convert to fraction form
    2,827.66/4,240.68 = 853.21/x
  3. Step 3: Cross multiply
    2,827.66x = 4,240.68 × 853.21
  4. Step 4: Simplify right side
    2,827.66x = 3,618,190.58
  5. Step 5: Solve for x
    x = 3,618,190.58/2,827.66
  6. Step 6: Final answer
    x = 1,279.57

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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.