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Finding the Fourth Proportional to 2,269.60, 3,404.40 and 1,907.80

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Solution

The fourth proportional to 2,269.60, 3,404.40 and 1,907.80 is: 2,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.60 : 3,404.40 = 1,907.80 : x
  2. Step 2: Convert to fraction form
    2,269.60/3,404.40 = 1,907.80/x
  3. Step 3: Cross multiply
    2,269.60x = 3,404.40 × 1,907.80
  4. Step 4: Simplify right side
    2,269.60x = 6,494,914.32
  5. Step 5: Solve for x
    x = 6,494,914.32/2,269.60
  6. Step 6: Final answer
    x = 2,861.70

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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.