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Finding the Fourth Proportional to 8,610.12, 12,911.94 and 6,782.76

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Solution

The fourth proportional to 8,610.12, 12,911.94 and 6,782.76 is: 10,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.12 : 12,911.94 = 6,782.76 : x
  2. Step 2: Convert to fraction form
    8,610.12/12,911.94 = 6,782.76/x
  3. Step 3: Cross multiply
    8,610.12x = 12,911.94 × 6,782.76
  4. Step 4: Simplify right side
    8,610.12x = 87,578,590.15
  5. Step 5: Solve for x
    x = 87,578,590.15/8,610.12
  6. Step 6: Final answer
    x = 10,171.59

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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.