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Finding the Fourth Proportional to 7,709.64, 11,564.46 and 3,816.78

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Solution

The fourth proportional to 7,709.64, 11,564.46 and 3,816.78 is: 5,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.64 : 11,564.46 = 3,816.78 : x
  2. Step 2: Convert to fraction form
    7,709.64/11,564.46 = 3,816.78/x
  3. Step 3: Cross multiply
    7,709.64x = 11,564.46 × 3,816.78
  4. Step 4: Simplify right side
    7,709.64x = 44,138,999.64
  5. Step 5: Solve for x
    x = 44,138,999.64/7,709.64
  6. Step 6: Final answer
    x = 5,725.17

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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.