Home / 2,670.14-4,005.34-821.12

Finding the Fourth Proportional to 2,670.14, 4,005.34 and 821.12

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Solution

The fourth proportional to 2,670.14, 4,005.34 and 821.12 is: 1,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.14 : 4,005.34 = 821.12 : x
  2. Step 2: Convert to fraction form
    2,670.14/4,005.34 = 821.12/x
  3. Step 3: Cross multiply
    2,670.14x = 4,005.34 × 821.12
  4. Step 4: Simplify right side
    2,670.14x = 3,288,864.78
  5. Step 5: Solve for x
    x = 3,288,864.78/2,670.14
  6. Step 6: Final answer
    x = 1,231.72

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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.