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Finding the Fourth Proportional to 8,564.22, 12,828.54 and 7,941.36

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Solution

The fourth proportional to 8,564.22, 12,828.54 and 7,941.36 is: 11,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.22 : 12,828.54 = 7,941.36 : x
  2. Step 2: Convert to fraction form
    8,564.22/12,828.54 = 7,941.36/x
  3. Step 3: Cross multiply
    8,564.22x = 12,828.54 × 7,941.36
  4. Step 4: Simplify right side
    8,564.22x = 101,876,054.41
  5. Step 5: Solve for x
    x = 101,876,054.41/8,564.22
  6. Step 6: Final answer
    x = 11,895.54

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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.