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Finding the Fourth Proportional to 7,809.57, 11,714.37 and 3,192.57

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Solution

The fourth proportional to 7,809.57, 11,714.37 and 3,192.57 is: 4,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.57 : 11,714.37 = 3,192.57 : x
  2. Step 2: Convert to fraction form
    7,809.57/11,714.37 = 3,192.57/x
  3. Step 3: Cross multiply
    7,809.57x = 11,714.37 × 3,192.57
  4. Step 4: Simplify right side
    7,809.57x = 37,398,946.23
  5. Step 5: Solve for x
    x = 37,398,946.23/7,809.57
  6. Step 6: Final answer
    x = 4,788.86

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1.5x scale

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.