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Finding the Fourth Proportional to 3,918.40, 5,877.75 and 996.63

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Solution

The fourth proportional to 3,918.40, 5,877.75 and 996.63 is: 1,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.40 : 5,877.75 = 996.63 : x
  2. Step 2: Convert to fraction form
    3,918.40/5,877.75 = 996.63/x
  3. Step 3: Cross multiply
    3,918.40x = 5,877.75 × 996.63
  4. Step 4: Simplify right side
    3,918.40x = 5,857,941.98
  5. Step 5: Solve for x
    x = 5,857,941.98/3,918.40
  6. Step 6: Final answer
    x = 1,494.98

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1.5x scale

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.