Home / 2,842-3,921.96-1,663.12

Finding the Fourth Proportional to 2,842, 3,921.96 and 1,663.12

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Solution

The fourth proportional to 2,842, 3,921.96 and 1,663.12 is: 2,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 3,921.96 = 1,663.12 : x
  2. Step 2: Convert to fraction form
    2,842/3,921.96 = 1,663.12/x
  3. Step 3: Cross multiply
    2,842x = 3,921.96 × 1,663.12
  4. Step 4: Simplify right side
    2,842x = 6,522,690.12
  5. Step 5: Solve for x
    x = 6,522,690.12/2,842
  6. Step 6: Final answer
    x = 2,295.11

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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.