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Finding the Fourth Proportional to 1,403.66, 1,935.82 and 843.93

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Solution

The fourth proportional to 1,403.66, 1,935.82 and 843.93 is: 1,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.66 : 1,935.82 = 843.93 : x
  2. Step 2: Convert to fraction form
    1,403.66/1,935.82 = 843.93/x
  3. Step 3: Cross multiply
    1,403.66x = 1,935.82 × 843.93
  4. Step 4: Simplify right side
    1,403.66x = 1,633,697.63
  5. Step 5: Solve for x
    x = 1,633,697.63/1,403.66
  6. Step 6: Final answer
    x = 1,163.88

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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.