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Finding the Fourth Proportional to 21,004.33, 31,512.64 and 6,213.64

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Solution

The fourth proportional to 21,004.33, 31,512.64 and 6,213.64 is: 9,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.33 : 31,512.64 = 6,213.64 : x
  2. Step 2: Convert to fraction form
    21,004.33/31,512.64 = 6,213.64/x
  3. Step 3: Cross multiply
    21,004.33x = 31,512.64 × 6,213.64
  4. Step 4: Simplify right side
    21,004.33x = 195,808,200.41
  5. Step 5: Solve for x
    x = 195,808,200.41/21,004.33
  6. Step 6: Final answer
    x = 9,322.28

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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.