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Finding the Fourth Proportional to 2,810.56, 4,215.11 and 835.66

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Solution

The fourth proportional to 2,810.56, 4,215.11 and 835.66 is: 1,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.56 : 4,215.11 = 835.66 : x
  2. Step 2: Convert to fraction form
    2,810.56/4,215.11 = 835.66/x
  3. Step 3: Cross multiply
    2,810.56x = 4,215.11 × 835.66
  4. Step 4: Simplify right side
    2,810.56x = 3,522,408.34
  5. Step 5: Solve for x
    x = 3,522,408.34/2,810.56
  6. Step 6: Final answer
    x = 1,253.27

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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.