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Finding the Fourth Proportional to 11,874.83, 16,387.57 and 7,159.42

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Solution

The fourth proportional to 11,874.83, 16,387.57 and 7,159.42 is: 9,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.83 : 16,387.57 = 7,159.42 : x
  2. Step 2: Convert to fraction form
    11,874.83/16,387.57 = 7,159.42/x
  3. Step 3: Cross multiply
    11,874.83x = 16,387.57 × 7,159.42
  4. Step 4: Simplify right side
    11,874.83x = 117,325,476.84
  5. Step 5: Solve for x
    x = 117,325,476.84/11,874.83
  6. Step 6: Final answer
    x = 9,880.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.