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Finding the Fourth Proportional to 19,893.60, 29,838.72 and 9,361.14

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Solution

The fourth proportional to 19,893.60, 29,838.72 and 9,361.14 is: 14,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.60 : 29,838.72 = 9,361.14 : x
  2. Step 2: Convert to fraction form
    19,893.60/29,838.72 = 9,361.14/x
  3. Step 3: Cross multiply
    19,893.60x = 29,838.72 × 9,361.14
  4. Step 4: Simplify right side
    19,893.60x = 279,324,435.34
  5. Step 5: Solve for x
    x = 279,324,435.34/19,893.60
  6. Step 6: Final answer
    x = 14,040.92

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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.