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Finding the Fourth Proportional to 7,808.50, 11,714.37 and 3,191.50

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Solution

The fourth proportional to 7,808.50, 11,714.37 and 3,191.50 is: 4,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.50 : 11,714.37 = 3,191.50 : x
  2. Step 2: Convert to fraction form
    7,808.50/11,714.37 = 3,191.50/x
  3. Step 3: Cross multiply
    7,808.50x = 11,714.37 × 3,191.50
  4. Step 4: Simplify right side
    7,808.50x = 37,386,411.86
  5. Step 5: Solve for x
    x = 37,386,411.86/7,808.50
  6. Step 6: Final answer
    x = 4,787.91

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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.