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Finding the Fourth Proportional to 3,209.98, 4,815.75 and 1,018.73

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Solution

The fourth proportional to 3,209.98, 4,815.75 and 1,018.73 is: 1,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.98 : 4,815.75 = 1,018.73 : x
  2. Step 2: Convert to fraction form
    3,209.98/4,815.75 = 1,018.73/x
  3. Step 3: Cross multiply
    3,209.98x = 4,815.75 × 1,018.73
  4. Step 4: Simplify right side
    3,209.98x = 4,905,948.45
  5. Step 5: Solve for x
    x = 4,905,948.45/3,209.98
  6. Step 6: Final answer
    x = 1,528.34

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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.