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Finding the Fourth Proportional to 12,851.22, 17,739.46 and 9,520.92

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Solution

The fourth proportional to 12,851.22, 17,739.46 and 9,520.92 is: 13,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.22 : 17,739.46 = 9,520.92 : x
  2. Step 2: Convert to fraction form
    12,851.22/17,739.46 = 9,520.92/x
  3. Step 3: Cross multiply
    12,851.22x = 17,739.46 × 9,520.92
  4. Step 4: Simplify right side
    12,851.22x = 168,895,979.50
  5. Step 5: Solve for x
    x = 168,895,979.50/12,851.22
  6. Step 6: Final answer
    x = 13,142.41

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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.