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Finding the Fourth Proportional to 12,249.52, 16,901.44 and 7,771.72

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Solution

The fourth proportional to 12,249.52, 16,901.44 and 7,771.72 is: 10,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.52 : 16,901.44 = 7,771.72 : x
  2. Step 2: Convert to fraction form
    12,249.52/16,901.44 = 7,771.72/x
  3. Step 3: Cross multiply
    12,249.52x = 16,901.44 × 7,771.72
  4. Step 4: Simplify right side
    12,249.52x = 131,353,259.28
  5. Step 5: Solve for x
    x = 131,353,259.28/12,249.52
  6. Step 6: Final answer
    x = 10,723.14

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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.