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Finding the Fourth Proportional to 3,206.56, 4,809.84 and 898.06

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Solution

The fourth proportional to 3,206.56, 4,809.84 and 898.06 is: 1,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.56 : 4,809.84 = 898.06 : x
  2. Step 2: Convert to fraction form
    3,206.56/4,809.84 = 898.06/x
  3. Step 3: Cross multiply
    3,206.56x = 4,809.84 × 898.06
  4. Step 4: Simplify right side
    3,206.56x = 4,319,524.91
  5. Step 5: Solve for x
    x = 4,319,524.91/3,206.56
  6. Step 6: Final answer
    x = 1,347.09

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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.