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Finding the Fourth Proportional to 4,170, 6,255.76 and 2,090.10

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Solution

The fourth proportional to 4,170, 6,255.76 and 2,090.10 is: 3,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170 : 6,255.76 = 2,090.10 : x
  2. Step 2: Convert to fraction form
    4,170/6,255.76 = 2,090.10/x
  3. Step 3: Cross multiply
    4,170x = 6,255.76 × 2,090.10
  4. Step 4: Simplify right side
    4,170x = 13,075,163.98
  5. Step 5: Solve for x
    x = 13,075,163.98/4,170
  6. Step 6: Final answer
    x = 3,135.53

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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.