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Finding the Fourth Proportional to 7,811.72, 11,714.01 and 4,850.04

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Solution

The fourth proportional to 7,811.72, 11,714.01 and 4,850.04 is: 7,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.72 : 11,714.01 = 4,850.04 : x
  2. Step 2: Convert to fraction form
    7,811.72/11,714.01 = 4,850.04/x
  3. Step 3: Cross multiply
    7,811.72x = 11,714.01 × 4,850.04
  4. Step 4: Simplify right side
    7,811.72x = 56,813,417.06
  5. Step 5: Solve for x
    x = 56,813,417.06/7,811.72
  6. Step 6: Final answer
    x = 7,272.85

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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.