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Finding the Fourth Proportional to 3,409.59, 5,106.89 and 2,817.89

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Solution

The fourth proportional to 3,409.59, 5,106.89 and 2,817.89 is: 4,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.59 : 5,106.89 = 2,817.89 : x
  2. Step 2: Convert to fraction form
    3,409.59/5,106.89 = 2,817.89/x
  3. Step 3: Cross multiply
    3,409.59x = 5,106.89 × 2,817.89
  4. Step 4: Simplify right side
    3,409.59x = 14,390,654.26
  5. Step 5: Solve for x
    x = 14,390,654.26/3,409.59
  6. Step 6: Final answer
    x = 4,220.64

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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.