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Finding the Fourth Proportional to 5,361.88, 7,400 and 3,123.84

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Solution

The fourth proportional to 5,361.88, 7,400 and 3,123.84 is: 4,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.88 : 7,400 = 3,123.84 : x
  2. Step 2: Convert to fraction form
    5,361.88/7,400 = 3,123.84/x
  3. Step 3: Cross multiply
    5,361.88x = 7,400 × 3,123.84
  4. Step 4: Simplify right side
    5,361.88x = 23,116,416
  5. Step 5: Solve for x
    x = 23,116,416/5,361.88
  6. Step 6: Final answer
    x = 4,311.25

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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.