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Finding the Fourth Proportional to 1,457.36, 2,011.11 and 827.95

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Solution

The fourth proportional to 1,457.36, 2,011.11 and 827.95 is: 1,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.36 : 2,011.11 = 827.95 : x
  2. Step 2: Convert to fraction form
    1,457.36/2,011.11 = 827.95/x
  3. Step 3: Cross multiply
    1,457.36x = 2,011.11 × 827.95
  4. Step 4: Simplify right side
    1,457.36x = 1,665,098.52
  5. Step 5: Solve for x
    x = 1,665,098.52/1,457.36
  6. Step 6: Final answer
    x = 1,142.54

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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.