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Finding the Fourth Proportional to 3,298.94, 4,549.10 and 2,828.42

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Solution

The fourth proportional to 3,298.94, 4,549.10 and 2,828.42 is: 3,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.94 : 4,549.10 = 2,828.42 : x
  2. Step 2: Convert to fraction form
    3,298.94/4,549.10 = 2,828.42/x
  3. Step 3: Cross multiply
    3,298.94x = 4,549.10 × 2,828.42
  4. Step 4: Simplify right side
    3,298.94x = 12,866,765.42
  5. Step 5: Solve for x
    x = 12,866,765.42/3,298.94
  6. Step 6: Final answer
    x = 3,900.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.