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Finding the Fourth Proportional to 7,877.76, 11,820.96 and 6,659.52

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Solution

The fourth proportional to 7,877.76, 11,820.96 and 6,659.52 is: 9,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.76 : 11,820.96 = 6,659.52 : x
  2. Step 2: Convert to fraction form
    7,877.76/11,820.96 = 6,659.52/x
  3. Step 3: Cross multiply
    7,877.76x = 11,820.96 × 6,659.52
  4. Step 4: Simplify right side
    7,877.76x = 78,721,919.54
  5. Step 5: Solve for x
    x = 78,721,919.54/7,877.76
  6. Step 6: Final answer
    x = 9,992.93

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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.