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Finding the Fourth Proportional to 12,125.76, 16,733.82 and 7,412.64

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Solution

The fourth proportional to 12,125.76, 16,733.82 and 7,412.64 is: 10,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.76 : 16,733.82 = 7,412.64 : x
  2. Step 2: Convert to fraction form
    12,125.76/16,733.82 = 7,412.64/x
  3. Step 3: Cross multiply
    12,125.76x = 16,733.82 × 7,412.64
  4. Step 4: Simplify right side
    12,125.76x = 124,041,783.48
  5. Step 5: Solve for x
    x = 124,041,783.48/12,125.76
  6. Step 6: Final answer
    x = 10,229.61

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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.