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Finding the Fourth Proportional to 2,536.05, 3,803.73 and 687.33

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Solution

The fourth proportional to 2,536.05, 3,803.73 and 687.33 is: 1,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.05 : 3,803.73 = 687.33 : x
  2. Step 2: Convert to fraction form
    2,536.05/3,803.73 = 687.33/x
  3. Step 3: Cross multiply
    2,536.05x = 3,803.73 × 687.33
  4. Step 4: Simplify right side
    2,536.05x = 2,614,417.74
  5. Step 5: Solve for x
    x = 2,614,417.74/2,536.05
  6. Step 6: Final answer
    x = 1,030.90

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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.