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Finding the Fourth Proportional to 21,361.84, 32,042.82 and 9,661.38

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Solution

The fourth proportional to 21,361.84, 32,042.82 and 9,661.38 is: 14,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,361.84 : 32,042.82 = 9,661.38 : x
  2. Step 2: Convert to fraction form
    21,361.84/32,042.82 = 9,661.38/x
  3. Step 3: Cross multiply
    21,361.84x = 32,042.82 × 9,661.38
  4. Step 4: Simplify right side
    21,361.84x = 309,577,860.29
  5. Step 5: Solve for x
    x = 309,577,860.29/21,361.84
  6. Step 6: Final answer
    x = 14,492.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.