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Finding the Fourth Proportional to 3,800.16, 5,698.56 and 1,490.08

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Solution

The fourth proportional to 3,800.16, 5,698.56 and 1,490.08 is: 2,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.16 : 5,698.56 = 1,490.08 : x
  2. Step 2: Convert to fraction form
    3,800.16/5,698.56 = 1,490.08/x
  3. Step 3: Cross multiply
    3,800.16x = 5,698.56 × 1,490.08
  4. Step 4: Simplify right side
    3,800.16x = 8,491,310.28
  5. Step 5: Solve for x
    x = 8,491,310.28/3,800.16
  6. Step 6: Final answer
    x = 2,234.46

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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.