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Finding the Fourth Proportional to 3,281.81, 4,914.88 and 1,817.33

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Solution

The fourth proportional to 3,281.81, 4,914.88 and 1,817.33 is: 2,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.81 : 4,914.88 = 1,817.33 : x
  2. Step 2: Convert to fraction form
    3,281.81/4,914.88 = 1,817.33/x
  3. Step 3: Cross multiply
    3,281.81x = 4,914.88 × 1,817.33
  4. Step 4: Simplify right side
    3,281.81x = 8,931,929.75
  5. Step 5: Solve for x
    x = 8,931,929.75/3,281.81
  6. Step 6: Final answer
    x = 2,721.65

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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.