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Finding the Fourth Proportional to 9,992.49, 13,787.22 and 6,405.81

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Solution

The fourth proportional to 9,992.49, 13,787.22 and 6,405.81 is: 8,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.49 : 13,787.22 = 6,405.81 : x
  2. Step 2: Convert to fraction form
    9,992.49/13,787.22 = 6,405.81/x
  3. Step 3: Cross multiply
    9,992.49x = 13,787.22 × 6,405.81
  4. Step 4: Simplify right side
    9,992.49x = 88,318,311.75
  5. Step 5: Solve for x
    x = 88,318,311.75/9,992.49
  6. Step 6: Final answer
    x = 8,838.47

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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.