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Finding the Fourth Proportional to 12,188.40, 16,819.08 and 6,883.20

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Solution

The fourth proportional to 12,188.40, 16,819.08 and 6,883.20 is: 9,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.40 : 16,819.08 = 6,883.20 : x
  2. Step 2: Convert to fraction form
    12,188.40/16,819.08 = 6,883.20/x
  3. Step 3: Cross multiply
    12,188.40x = 16,819.08 × 6,883.20
  4. Step 4: Simplify right side
    12,188.40x = 115,769,091.46
  5. Step 5: Solve for x
    x = 115,769,091.46/12,188.40
  6. Step 6: Final answer
    x = 9,498.30

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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.