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Finding the Fourth Proportional to 7,914.72, 11,872.08 and 2,071.32

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Solution

The fourth proportional to 7,914.72, 11,872.08 and 2,071.32 is: 3,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.72 : 11,872.08 = 2,071.32 : x
  2. Step 2: Convert to fraction form
    7,914.72/11,872.08 = 2,071.32/x
  3. Step 3: Cross multiply
    7,914.72x = 11,872.08 × 2,071.32
  4. Step 4: Simplify right side
    7,914.72x = 24,590,876.75
  5. Step 5: Solve for x
    x = 24,590,876.75/7,914.72
  6. Step 6: Final answer
    x = 3,106.98

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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.