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Finding the Fourth Proportional to 20,850.88, 31,274.88 and 9,004.16

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Solution

The fourth proportional to 20,850.88, 31,274.88 and 9,004.16 is: 13,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.88 : 31,274.88 = 9,004.16 : x
  2. Step 2: Convert to fraction form
    20,850.88/31,274.88 = 9,004.16/x
  3. Step 3: Cross multiply
    20,850.88x = 31,274.88 × 9,004.16
  4. Step 4: Simplify right side
    20,850.88x = 281,604,023.50
  5. Step 5: Solve for x
    x = 281,604,023.50/20,850.88
  6. Step 6: Final answer
    x = 13,505.62

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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.