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Finding the Fourth Proportional to 3,523.88, 5,284.74 and 2,828.90

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Solution

The fourth proportional to 3,523.88, 5,284.74 and 2,828.90 is: 4,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.88 : 5,284.74 = 2,828.90 : x
  2. Step 2: Convert to fraction form
    3,523.88/5,284.74 = 2,828.90/x
  3. Step 3: Cross multiply
    3,523.88x = 5,284.74 × 2,828.90
  4. Step 4: Simplify right side
    3,523.88x = 14,950,000.99
  5. Step 5: Solve for x
    x = 14,950,000.99/3,523.88
  6. Step 6: Final answer
    x = 4,242.48

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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.