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Finding the Fourth Proportional to 3,903.11, 5,854.67 and 981.39

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Solution

The fourth proportional to 3,903.11, 5,854.67 and 981.39 is: 1,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.11 : 5,854.67 = 981.39 : x
  2. Step 2: Convert to fraction form
    3,903.11/5,854.67 = 981.39/x
  3. Step 3: Cross multiply
    3,903.11x = 5,854.67 × 981.39
  4. Step 4: Simplify right side
    3,903.11x = 5,745,714.59
  5. Step 5: Solve for x
    x = 5,745,714.59/3,903.11
  6. Step 6: Final answer
    x = 1,472.09

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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.