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Finding the Fourth Proportional to 10,990.50, 16,485.78 and 3,199.50

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Solution

The fourth proportional to 10,990.50, 16,485.78 and 3,199.50 is: 4,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990.50 : 16,485.78 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    10,990.50/16,485.78 = 3,199.50/x
  3. Step 3: Cross multiply
    10,990.50x = 16,485.78 × 3,199.50
  4. Step 4: Simplify right side
    10,990.50x = 52,746,253.11
  5. Step 5: Solve for x
    x = 52,746,253.11/10,990.50
  6. Step 6: Final answer
    x = 4,799.26

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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.