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Finding the Fourth Proportional to 11,745.80, 16,209.72 and 6,441

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Solution

The fourth proportional to 11,745.80, 16,209.72 and 6,441 is: 8,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.80 : 16,209.72 = 6,441 : x
  2. Step 2: Convert to fraction form
    11,745.80/16,209.72 = 6,441/x
  3. Step 3: Cross multiply
    11,745.80x = 16,209.72 × 6,441
  4. Step 4: Simplify right side
    11,745.80x = 104,406,806.52
  5. Step 5: Solve for x
    x = 104,406,806.52/11,745.80
  6. Step 6: Final answer
    x = 8,888.86

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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.