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Finding the Fourth Proportional to 8,842, 12,202.56 and 5,116

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Solution

The fourth proportional to 8,842, 12,202.56 and 5,116 is: 7,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842 : 12,202.56 = 5,116 : x
  2. Step 2: Convert to fraction form
    8,842/12,202.56 = 5,116/x
  3. Step 3: Cross multiply
    8,842x = 12,202.56 × 5,116
  4. Step 4: Simplify right side
    8,842x = 62,428,296.96
  5. Step 5: Solve for x
    x = 62,428,296.96/8,842
  6. Step 6: Final answer
    x = 7,060.43

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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.