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Finding the Fourth Proportional to 3,486.48, 5,229.68 and 853.99

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Solution

The fourth proportional to 3,486.48, 5,229.68 and 853.99 is: 1,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.48 : 5,229.68 = 853.99 : x
  2. Step 2: Convert to fraction form
    3,486.48/5,229.68 = 853.99/x
  3. Step 3: Cross multiply
    3,486.48x = 5,229.68 × 853.99
  4. Step 4: Simplify right side
    3,486.48x = 4,466,106.43
  5. Step 5: Solve for x
    x = 4,466,106.43/3,486.48
  6. Step 6: Final answer
    x = 1,280.98

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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.