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Finding the Fourth Proportional to 11,147.80, 16,689.30 and 10,823.80

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Solution

The fourth proportional to 11,147.80, 16,689.30 and 10,823.80 is: 16,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.80 : 16,689.30 = 10,823.80 : x
  2. Step 2: Convert to fraction form
    11,147.80/16,689.30 = 10,823.80/x
  3. Step 3: Cross multiply
    11,147.80x = 16,689.30 × 10,823.80
  4. Step 4: Simplify right side
    11,147.80x = 180,641,645.34
  5. Step 5: Solve for x
    x = 180,641,645.34/11,147.80
  6. Step 6: Final answer
    x = 16,204.24

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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.