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Finding the Fourth Proportional to 12,179.60, 16,807.56 and 7,211.60

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Solution

The fourth proportional to 12,179.60, 16,807.56 and 7,211.60 is: 9,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.60 : 16,807.56 = 7,211.60 : x
  2. Step 2: Convert to fraction form
    12,179.60/16,807.56 = 7,211.60/x
  3. Step 3: Cross multiply
    12,179.60x = 16,807.56 × 7,211.60
  4. Step 4: Simplify right side
    12,179.60x = 121,209,399.70
  5. Step 5: Solve for x
    x = 121,209,399.70/12,179.60
  6. Step 6: Final answer
    x = 9,951.84

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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.