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Finding the Fourth Proportional to 12,029.80, 16,601.50 and 6,724.60

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Solution

The fourth proportional to 12,029.80, 16,601.50 and 6,724.60 is: 9,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.80 : 16,601.50 = 6,724.60 : x
  2. Step 2: Convert to fraction form
    12,029.80/16,601.50 = 6,724.60/x
  3. Step 3: Cross multiply
    12,029.80x = 16,601.50 × 6,724.60
  4. Step 4: Simplify right side
    12,029.80x = 111,638,446.90
  5. Step 5: Solve for x
    x = 111,638,446.90/12,029.80
  6. Step 6: Final answer
    x = 9,280.16

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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.