Home / 2,653.16-3,971.82-1,610

Finding the Fourth Proportional to 2,653.16, 3,971.82 and 1,610

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Solution

The fourth proportional to 2,653.16, 3,971.82 and 1,610 is: 2,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.16 : 3,971.82 = 1,610 : x
  2. Step 2: Convert to fraction form
    2,653.16/3,971.82 = 1,610/x
  3. Step 3: Cross multiply
    2,653.16x = 3,971.82 × 1,610
  4. Step 4: Simplify right side
    2,653.16x = 6,394,630.20
  5. Step 5: Solve for x
    x = 6,394,630.20/2,653.16
  6. Step 6: Final answer
    x = 2,410.19

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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.