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Finding the Fourth Proportional to 3,881.98, 5,355.48 and 3,138.40

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Solution

The fourth proportional to 3,881.98, 5,355.48 and 3,138.40 is: 4,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.98 : 5,355.48 = 3,138.40 : x
  2. Step 2: Convert to fraction form
    3,881.98/5,355.48 = 3,138.40/x
  3. Step 3: Cross multiply
    3,881.98x = 5,355.48 × 3,138.40
  4. Step 4: Simplify right side
    3,881.98x = 16,807,638.43
  5. Step 5: Solve for x
    x = 16,807,638.43/3,881.98
  6. Step 6: Final answer
    x = 4,329.66

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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.