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Finding the Fourth Proportional to 12,562.56, 17,334.08 and 8,144

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Solution

The fourth proportional to 12,562.56, 17,334.08 and 8,144 is: 11,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.56 : 17,334.08 = 8,144 : x
  2. Step 2: Convert to fraction form
    12,562.56/17,334.08 = 8,144/x
  3. Step 3: Cross multiply
    12,562.56x = 17,334.08 × 8,144
  4. Step 4: Simplify right side
    12,562.56x = 141,168,747.52
  5. Step 5: Solve for x
    x = 141,168,747.52/12,562.56
  6. Step 6: Final answer
    x = 11,237.26

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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.