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Finding the Fourth Proportional to 2,890.70, 4,328.48 and 2,241.98

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Solution

The fourth proportional to 2,890.70, 4,328.48 and 2,241.98 is: 3,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.70 : 4,328.48 = 2,241.98 : x
  2. Step 2: Convert to fraction form
    2,890.70/4,328.48 = 2,241.98/x
  3. Step 3: Cross multiply
    2,890.70x = 4,328.48 × 2,241.98
  4. Step 4: Simplify right side
    2,890.70x = 9,704,365.59
  5. Step 5: Solve for x
    x = 9,704,365.59/2,890.70
  6. Step 6: Final answer
    x = 3,357.10

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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.