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Finding the Fourth Proportional to 10,811.50, 16,109.77 and 9,632.44

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Solution

The fourth proportional to 10,811.50, 16,109.77 and 9,632.44 is: 14,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.50 : 16,109.77 = 9,632.44 : x
  2. Step 2: Convert to fraction form
    10,811.50/16,109.77 = 9,632.44/x
  3. Step 3: Cross multiply
    10,811.50x = 16,109.77 × 9,632.44
  4. Step 4: Simplify right side
    10,811.50x = 155,176,328.58
  5. Step 5: Solve for x
    x = 155,176,328.58/10,811.50
  6. Step 6: Final answer
    x = 14,352.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.