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Finding the Fourth Proportional to 10,361.40, 14,304 and 7,021.84

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Solution

The fourth proportional to 10,361.40, 14,304 and 7,021.84 is: 9,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.40 : 14,304 = 7,021.84 : x
  2. Step 2: Convert to fraction form
    10,361.40/14,304 = 7,021.84/x
  3. Step 3: Cross multiply
    10,361.40x = 14,304 × 7,021.84
  4. Step 4: Simplify right side
    10,361.40x = 100,440,399.36
  5. Step 5: Solve for x
    x = 100,440,399.36/10,361.40
  6. Step 6: Final answer
    x = 9,693.71

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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.