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Finding the Fourth Proportional to 3,918.44, 5,877.56 and 956.88

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Solution

The fourth proportional to 3,918.44, 5,877.56 and 956.88 is: 1,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.44 : 5,877.56 = 956.88 : x
  2. Step 2: Convert to fraction form
    3,918.44/5,877.56 = 956.88/x
  3. Step 3: Cross multiply
    3,918.44x = 5,877.56 × 956.88
  4. Step 4: Simplify right side
    3,918.44x = 5,624,122.01
  5. Step 5: Solve for x
    x = 5,624,122.01/3,918.44
  6. Step 6: Final answer
    x = 1,435.30

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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.