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Finding the Fourth Proportional to 4,075, 5,609.22 and 3,550.12

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Solution

The fourth proportional to 4,075, 5,609.22 and 3,550.12 is: 4,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 5,609.22 = 3,550.12 : x
  2. Step 2: Convert to fraction form
    4,075/5,609.22 = 3,550.12/x
  3. Step 3: Cross multiply
    4,075x = 5,609.22 × 3,550.12
  4. Step 4: Simplify right side
    4,075x = 19,913,404.11
  5. Step 5: Solve for x
    x = 19,913,404.11/4,075
  6. Step 6: Final answer
    x = 4,886.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.