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Finding the Fourth Proportional to 12,840.92, 17,720.34 and 8,129.06

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Solution

The fourth proportional to 12,840.92, 17,720.34 and 8,129.06 is: 11,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.92 : 17,720.34 = 8,129.06 : x
  2. Step 2: Convert to fraction form
    12,840.92/17,720.34 = 8,129.06/x
  3. Step 3: Cross multiply
    12,840.92x = 17,720.34 × 8,129.06
  4. Step 4: Simplify right side
    12,840.92x = 144,049,707.08
  5. Step 5: Solve for x
    x = 144,049,707.08/12,840.92
  6. Step 6: Final answer
    x = 11,218.02

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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.