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Finding the Fourth Proportional to 13,843.67, 20,762.90 and 3,712.19

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Solution

The fourth proportional to 13,843.67, 20,762.90 and 3,712.19 is: 5,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.67 : 20,762.90 = 3,712.19 : x
  2. Step 2: Convert to fraction form
    13,843.67/20,762.90 = 3,712.19/x
  3. Step 3: Cross multiply
    13,843.67x = 20,762.90 × 3,712.19
  4. Step 4: Simplify right side
    13,843.67x = 77,075,721.30
  5. Step 5: Solve for x
    x = 77,075,721.30/13,843.67
  6. Step 6: Final answer
    x = 5,567.58

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1.5x scale

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.