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Finding the Fourth Proportional to 3,778.67, 5,669.73 and 1,699.22

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Solution

The fourth proportional to 3,778.67, 5,669.73 and 1,699.22 is: 2,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.67 : 5,669.73 = 1,699.22 : x
  2. Step 2: Convert to fraction form
    3,778.67/5,669.73 = 1,699.22/x
  3. Step 3: Cross multiply
    3,778.67x = 5,669.73 × 1,699.22
  4. Step 4: Simplify right side
    3,778.67x = 9,634,090.26
  5. Step 5: Solve for x
    x = 9,634,090.26/3,778.67
  6. Step 6: Final answer
    x = 2,549.60

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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.