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Finding the Fourth Proportional to 11,580.96, 17,375.04 and 7,877.76

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Solution

The fourth proportional to 11,580.96, 17,375.04 and 7,877.76 is: 11,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.96 : 17,375.04 = 7,877.76 : x
  2. Step 2: Convert to fraction form
    11,580.96/17,375.04 = 7,877.76/x
  3. Step 3: Cross multiply
    11,580.96x = 17,375.04 × 7,877.76
  4. Step 4: Simplify right side
    11,580.96x = 136,876,395.11
  5. Step 5: Solve for x
    x = 136,876,395.11/11,580.96
  6. Step 6: Final answer
    x = 11,819.09

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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.