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Finding the Fourth Proportional to 1,471.11, 2,029.86 and 881.52

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Solution

The fourth proportional to 1,471.11, 2,029.86 and 881.52 is: 1,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.11 : 2,029.86 = 881.52 : x
  2. Step 2: Convert to fraction form
    1,471.11/2,029.86 = 881.52/x
  3. Step 3: Cross multiply
    1,471.11x = 2,029.86 × 881.52
  4. Step 4: Simplify right side
    1,471.11x = 1,789,362.19
  5. Step 5: Solve for x
    x = 1,789,362.19/1,471.11
  6. Step 6: Final answer
    x = 1,216.33

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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.