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Finding the Fourth Proportional to 7,809.62, 11,714.58 and 3,648.50

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Solution

The fourth proportional to 7,809.62, 11,714.58 and 3,648.50 is: 5,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.62 : 11,714.58 = 3,648.50 : x
  2. Step 2: Convert to fraction form
    7,809.62/11,714.58 = 3,648.50/x
  3. Step 3: Cross multiply
    7,809.62x = 11,714.58 × 3,648.50
  4. Step 4: Simplify right side
    7,809.62x = 42,740,586.56
  5. Step 5: Solve for x
    x = 42,740,586.56/7,809.62
  6. Step 6: Final answer
    x = 5,472.81

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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.