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Finding the Fourth Proportional to 11,189.56, 16,775.16 and 7,669.84

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Solution

The fourth proportional to 11,189.56, 16,775.16 and 7,669.84 is: 11,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.56 : 16,775.16 = 7,669.84 : x
  2. Step 2: Convert to fraction form
    11,189.56/16,775.16 = 7,669.84/x
  3. Step 3: Cross multiply
    11,189.56x = 16,775.16 × 7,669.84
  4. Step 4: Simplify right side
    11,189.56x = 128,662,793.17
  5. Step 5: Solve for x
    x = 128,662,793.17/11,189.56
  6. Step 6: Final answer
    x = 11,498.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.