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Finding the Fourth Proportional to 11,660.78, 16,090.44 and 8,511.50

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Solution

The fourth proportional to 11,660.78, 16,090.44 and 8,511.50 is: 11,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.78 : 16,090.44 = 8,511.50 : x
  2. Step 2: Convert to fraction form
    11,660.78/16,090.44 = 8,511.50/x
  3. Step 3: Cross multiply
    11,660.78x = 16,090.44 × 8,511.50
  4. Step 4: Simplify right side
    11,660.78x = 136,953,780.06
  5. Step 5: Solve for x
    x = 136,953,780.06/11,660.78
  6. Step 6: Final answer
    x = 11,744.82

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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.