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Finding the Fourth Proportional to 8,564.56, 12,878.06 and 7,879.50

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Solution

The fourth proportional to 8,564.56, 12,878.06 and 7,879.50 is: 11,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.56 : 12,878.06 = 7,879.50 : x
  2. Step 2: Convert to fraction form
    8,564.56/12,878.06 = 7,879.50/x
  3. Step 3: Cross multiply
    8,564.56x = 12,878.06 × 7,879.50
  4. Step 4: Simplify right side
    8,564.56x = 101,472,673.77
  5. Step 5: Solve for x
    x = 101,472,673.77/8,564.56
  6. Step 6: Final answer
    x = 11,847.97

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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.