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Finding the Fourth Proportional to 3,258.50, 4,889.12 and 1,698.90

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Solution

The fourth proportional to 3,258.50, 4,889.12 and 1,698.90 is: 2,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.50 : 4,889.12 = 1,698.90 : x
  2. Step 2: Convert to fraction form
    3,258.50/4,889.12 = 1,698.90/x
  3. Step 3: Cross multiply
    3,258.50x = 4,889.12 × 1,698.90
  4. Step 4: Simplify right side
    3,258.50x = 8,306,125.97
  5. Step 5: Solve for x
    x = 8,306,125.97/3,258.50
  6. Step 6: Final answer
    x = 2,549.06

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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.