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Finding the Fourth Proportional to 8,272.94, 12,400.97 and 4,761.86

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Solution

The fourth proportional to 8,272.94, 12,400.97 and 4,761.86 is: 7,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.94 : 12,400.97 = 4,761.86 : x
  2. Step 2: Convert to fraction form
    8,272.94/12,400.97 = 4,761.86/x
  3. Step 3: Cross multiply
    8,272.94x = 12,400.97 × 4,761.86
  4. Step 4: Simplify right side
    8,272.94x = 59,051,597.19
  5. Step 5: Solve for x
    x = 59,051,597.19/8,272.94
  6. Step 6: Final answer
    x = 7,137.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.