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Finding the Fourth Proportional to 7,809.86, 11,714.78 and 2,263.20

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Solution

The fourth proportional to 7,809.86, 11,714.78 and 2,263.20 is: 3,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.86 : 11,714.78 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    7,809.86/11,714.78 = 2,263.20/x
  3. Step 3: Cross multiply
    7,809.86x = 11,714.78 × 2,263.20
  4. Step 4: Simplify right side
    7,809.86x = 26,512,878.78
  5. Step 5: Solve for x
    x = 26,512,878.78/7,809.86
  6. Step 6: Final answer
    x = 3,394.80

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Similar ratio
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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.