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Finding the Fourth Proportional to 12,116.44, 16,721.69 and 6,739.40

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Solution

The fourth proportional to 12,116.44, 16,721.69 and 6,739.40 is: 9,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.44 : 16,721.69 = 6,739.40 : x
  2. Step 2: Convert to fraction form
    12,116.44/16,721.69 = 6,739.40/x
  3. Step 3: Cross multiply
    12,116.44x = 16,721.69 × 6,739.40
  4. Step 4: Simplify right side
    12,116.44x = 112,694,203.60
  5. Step 5: Solve for x
    x = 112,694,203.60/12,116.44
  6. Step 6: Final answer
    x = 9,300.94

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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.