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Finding the Fourth Proportional to 3,751.90, 5,623.99 and 1,411.47

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Solution

The fourth proportional to 3,751.90, 5,623.99 and 1,411.47 is: 2,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.90 : 5,623.99 = 1,411.47 : x
  2. Step 2: Convert to fraction form
    3,751.90/5,623.99 = 1,411.47/x
  3. Step 3: Cross multiply
    3,751.90x = 5,623.99 × 1,411.47
  4. Step 4: Simplify right side
    3,751.90x = 7,938,093.17
  5. Step 5: Solve for x
    x = 7,938,093.17/3,751.90
  6. Step 6: Final answer
    x = 2,115.75

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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.