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Finding the Fourth Proportional to 3,206.38, 4,809.75 and 898.06

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Solution

The fourth proportional to 3,206.38, 4,809.75 and 898.06 is: 1,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.38 : 4,809.75 = 898.06 : x
  2. Step 2: Convert to fraction form
    3,206.38/4,809.75 = 898.06/x
  3. Step 3: Cross multiply
    3,206.38x = 4,809.75 × 898.06
  4. Step 4: Simplify right side
    3,206.38x = 4,319,415.55
  5. Step 5: Solve for x
    x = 4,319,415.55/3,206.38
  6. Step 6: Final answer
    x = 1,347.13

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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.