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Finding the Fourth Proportional to 12,043.20, 16,619.20 and 6,737.60

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Solution

The fourth proportional to 12,043.20, 16,619.20 and 6,737.60 is: 9,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.20 : 16,619.20 = 6,737.60 : x
  2. Step 2: Convert to fraction form
    12,043.20/16,619.20 = 6,737.60/x
  3. Step 3: Cross multiply
    12,043.20x = 16,619.20 × 6,737.60
  4. Step 4: Simplify right side
    12,043.20x = 111,973,521.92
  5. Step 5: Solve for x
    x = 111,973,521.92/12,043.20
  6. Step 6: Final answer
    x = 9,297.66

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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.