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Finding the Fourth Proportional to 11,761.86, 16,228.08 and 7,572.54

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Solution

The fourth proportional to 11,761.86, 16,228.08 and 7,572.54 is: 10,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.86 : 16,228.08 = 7,572.54 : x
  2. Step 2: Convert to fraction form
    11,761.86/16,228.08 = 7,572.54/x
  3. Step 3: Cross multiply
    11,761.86x = 16,228.08 × 7,572.54
  4. Step 4: Simplify right side
    11,761.86x = 122,887,784.92
  5. Step 5: Solve for x
    x = 122,887,784.92/11,761.86
  6. Step 6: Final answer
    x = 10,447.99

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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.