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Finding the Fourth Proportional to 1,381.70, 1,903.50 and 961.33

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Solution

The fourth proportional to 1,381.70, 1,903.50 and 961.33 is: 1,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.70 : 1,903.50 = 961.33 : x
  2. Step 2: Convert to fraction form
    1,381.70/1,903.50 = 961.33/x
  3. Step 3: Cross multiply
    1,381.70x = 1,903.50 × 961.33
  4. Step 4: Simplify right side
    1,381.70x = 1,829,881.08
  5. Step 5: Solve for x
    x = 1,829,881.08/1,381.70
  6. Step 6: Final answer
    x = 1,324.37

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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.