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Finding the Fourth Proportional to 2,669.46, 4,010 and 2,581.98

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Solution

The fourth proportional to 2,669.46, 4,010 and 2,581.98 is: 3,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.46 : 4,010 = 2,581.98 : x
  2. Step 2: Convert to fraction form
    2,669.46/4,010 = 2,581.98/x
  3. Step 3: Cross multiply
    2,669.46x = 4,010 × 2,581.98
  4. Step 4: Simplify right side
    2,669.46x = 10,353,739.80
  5. Step 5: Solve for x
    x = 10,353,739.80/2,669.46
  6. Step 6: Final answer
    x = 3,878.59

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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.