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Finding the Fourth Proportional to 3,903.58, 5,855.37 and 981.91

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Solution

The fourth proportional to 3,903.58, 5,855.37 and 981.91 is: 1,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.58 : 5,855.37 = 981.91 : x
  2. Step 2: Convert to fraction form
    3,903.58/5,855.37 = 981.91/x
  3. Step 3: Cross multiply
    3,903.58x = 5,855.37 × 981.91
  4. Step 4: Simplify right side
    3,903.58x = 5,749,446.36
  5. Step 5: Solve for x
    x = 5,749,446.36/3,903.58
  6. Step 6: Final answer
    x = 1,472.87

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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.