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Finding the Fourth Proportional to 3,234.90, 4,857.30 and 1,776.90

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Solution

The fourth proportional to 3,234.90, 4,857.30 and 1,776.90 is: 2,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.90 : 4,857.30 = 1,776.90 : x
  2. Step 2: Convert to fraction form
    3,234.90/4,857.30 = 1,776.90/x
  3. Step 3: Cross multiply
    3,234.90x = 4,857.30 × 1,776.90
  4. Step 4: Simplify right side
    3,234.90x = 8,630,936.37
  5. Step 5: Solve for x
    x = 8,630,936.37/3,234.90
  6. Step 6: Final answer
    x = 2,668.07

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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.