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Finding the Fourth Proportional to 8,852, 12,215.76 and 5,126.24

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Solution

The fourth proportional to 8,852, 12,215.76 and 5,126.24 is: 7,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852 : 12,215.76 = 5,126.24 : x
  2. Step 2: Convert to fraction form
    8,852/12,215.76 = 5,126.24/x
  3. Step 3: Cross multiply
    8,852x = 12,215.76 × 5,126.24
  4. Step 4: Simplify right side
    8,852x = 62,620,917.54
  5. Step 5: Solve for x
    x = 62,620,917.54/8,852
  6. Step 6: Final answer
    x = 7,074.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.