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Finding the Fourth Proportional to 10,804.85, 16,200.80 and 4,223.20

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Solution

The fourth proportional to 10,804.85, 16,200.80 and 4,223.20 is: 6,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.85 : 16,200.80 = 4,223.20 : x
  2. Step 2: Convert to fraction form
    10,804.85/16,200.80 = 4,223.20/x
  3. Step 3: Cross multiply
    10,804.85x = 16,200.80 × 4,223.20
  4. Step 4: Simplify right side
    10,804.85x = 68,419,116.44
  5. Step 5: Solve for x
    x = 68,419,116.44/10,804.85
  6. Step 6: Final answer
    x = 6,332.26

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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.