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Finding the Fourth Proportional to 34,571.68, 47,709.20 and 19,668.64

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Solution

The fourth proportional to 34,571.68, 47,709.20 and 19,668.64 is: 27,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571.68 : 47,709.20 = 19,668.64 : x
  2. Step 2: Convert to fraction form
    34,571.68/47,709.20 = 19,668.64/x
  3. Step 3: Cross multiply
    34,571.68x = 47,709.20 × 19,668.64
  4. Step 4: Simplify right side
    34,571.68x = 938,375,079.49
  5. Step 5: Solve for x
    x = 938,375,079.49/34,571.68
  6. Step 6: Final answer
    x = 27,142.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.