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Finding the Fourth Proportional to 8,102.25, 11,185.97 and 5,312.61

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Solution

The fourth proportional to 8,102.25, 11,185.97 and 5,312.61 is: 7,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.25 : 11,185.97 = 5,312.61 : x
  2. Step 2: Convert to fraction form
    8,102.25/11,185.97 = 5,312.61/x
  3. Step 3: Cross multiply
    8,102.25x = 11,185.97 × 5,312.61
  4. Step 4: Simplify right side
    8,102.25x = 59,426,669.52
  5. Step 5: Solve for x
    x = 59,426,669.52/8,102.25
  6. Step 6: Final answer
    x = 7,334.59

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