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Finding the Fourth Proportional to 11,980.59, 16,528.50 and 8,004.30

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Solution

The fourth proportional to 11,980.59, 16,528.50 and 8,004.30 is: 11,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.59 : 16,528.50 = 8,004.30 : x
  2. Step 2: Convert to fraction form
    11,980.59/16,528.50 = 8,004.30/x
  3. Step 3: Cross multiply
    11,980.59x = 16,528.50 × 8,004.30
  4. Step 4: Simplify right side
    11,980.59x = 132,299,072.55
  5. Step 5: Solve for x
    x = 132,299,072.55/11,980.59
  6. Step 6: Final answer
    x = 11,042.78

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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.