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Finding the Fourth Proportional to 1,381.85, 1,903.97 and 938.98

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Solution

The fourth proportional to 1,381.85, 1,903.97 and 938.98 is: 1,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.85 : 1,903.97 = 938.98 : x
  2. Step 2: Convert to fraction form
    1,381.85/1,903.97 = 938.98/x
  3. Step 3: Cross multiply
    1,381.85x = 1,903.97 × 938.98
  4. Step 4: Simplify right side
    1,381.85x = 1,787,794.48
  5. Step 5: Solve for x
    x = 1,787,794.48/1,381.85
  6. Step 6: Final answer
    x = 1,293.77

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1.5x scale

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.