Home / 3,565-4,919.46-1,971.64

Finding the Fourth Proportional to 3,565, 4,919.46 and 1,971.64

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Solution

The fourth proportional to 3,565, 4,919.46 and 1,971.64 is: 2,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565 : 4,919.46 = 1,971.64 : x
  2. Step 2: Convert to fraction form
    3,565/4,919.46 = 1,971.64/x
  3. Step 3: Cross multiply
    3,565x = 4,919.46 × 1,971.64
  4. Step 4: Simplify right side
    3,565x = 9,699,404.11
  5. Step 5: Solve for x
    x = 9,699,404.11/3,565
  6. Step 6: Final answer
    x = 2,720.73

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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.