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Finding the Fourth Proportional to 10,745.55, 16,137.53 and 7,827.15

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Solution

The fourth proportional to 10,745.55, 16,137.53 and 7,827.15 is: 11,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.55 : 16,137.53 = 7,827.15 : x
  2. Step 2: Convert to fraction form
    10,745.55/16,137.53 = 7,827.15/x
  3. Step 3: Cross multiply
    10,745.55x = 16,137.53 × 7,827.15
  4. Step 4: Simplify right side
    10,745.55x = 126,310,828.80
  5. Step 5: Solve for x
    x = 126,310,828.80/10,745.55
  6. Step 6: Final answer
    x = 11,754.71

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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.