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Finding the Fourth Proportional to 7,809.63, 11,706.21 and 5,343.78

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Solution

The fourth proportional to 7,809.63, 11,706.21 and 5,343.78 is: 8,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.63 : 11,706.21 = 5,343.78 : x
  2. Step 2: Convert to fraction form
    7,809.63/11,706.21 = 5,343.78/x
  3. Step 3: Cross multiply
    7,809.63x = 11,706.21 × 5,343.78
  4. Step 4: Simplify right side
    7,809.63x = 62,555,410.87
  5. Step 5: Solve for x
    x = 62,555,410.87/7,809.63
  6. Step 6: Final answer
    x = 8,010.04

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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.