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Finding the Fourth Proportional to 12,771.60, 17,616.20 and 8,051.92

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Solution

The fourth proportional to 12,771.60, 17,616.20 and 8,051.92 is: 11,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.60 : 17,616.20 = 8,051.92 : x
  2. Step 2: Convert to fraction form
    12,771.60/17,616.20 = 8,051.92/x
  3. Step 3: Cross multiply
    12,771.60x = 17,616.20 × 8,051.92
  4. Step 4: Simplify right side
    12,771.60x = 141,844,233.10
  5. Step 5: Solve for x
    x = 141,844,233.10/12,771.60
  6. Step 6: Final answer
    x = 11,106.22

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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.