Home / 5,161-7,741.68-1,698.52

Finding the Fourth Proportional to 5,161, 7,741.68 and 1,698.52

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Solution

The fourth proportional to 5,161, 7,741.68 and 1,698.52 is: 2,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161 : 7,741.68 = 1,698.52 : x
  2. Step 2: Convert to fraction form
    5,161/7,741.68 = 1,698.52/x
  3. Step 3: Cross multiply
    5,161x = 7,741.68 × 1,698.52
  4. Step 4: Simplify right side
    5,161x = 13,149,398.31
  5. Step 5: Solve for x
    x = 13,149,398.31/5,161
  6. Step 6: Final answer
    x = 2,547.84

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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.