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Finding the Fourth Proportional to 7,811.64, 11,717.06 and 1,967.90

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Solution

The fourth proportional to 7,811.64, 11,717.06 and 1,967.90 is: 2,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.64 : 11,717.06 = 1,967.90 : x
  2. Step 2: Convert to fraction form
    7,811.64/11,717.06 = 1,967.90/x
  3. Step 3: Cross multiply
    7,811.64x = 11,717.06 × 1,967.90
  4. Step 4: Simplify right side
    7,811.64x = 23,057,933.95
  5. Step 5: Solve for x
    x = 23,057,933.95/7,811.64
  6. Step 6: Final answer
    x = 2,951.74

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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.