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Finding the Fourth Proportional to 2,670.06, 4,005.48 and 820.91

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Solution

The fourth proportional to 2,670.06, 4,005.48 and 820.91 is: 1,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.06 : 4,005.48 = 820.91 : x
  2. Step 2: Convert to fraction form
    2,670.06/4,005.48 = 820.91/x
  3. Step 3: Cross multiply
    2,670.06x = 4,005.48 × 820.91
  4. Step 4: Simplify right side
    2,670.06x = 3,288,118.56
  5. Step 5: Solve for x
    x = 3,288,118.56/2,670.06
  6. Step 6: Final answer
    x = 1,231.48

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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.