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Finding the Fourth Proportional to 10,085.49, 15,128.34 and 8,323.59

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Solution

The fourth proportional to 10,085.49, 15,128.34 and 8,323.59 is: 12,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.49 : 15,128.34 = 8,323.59 : x
  2. Step 2: Convert to fraction form
    10,085.49/15,128.34 = 8,323.59/x
  3. Step 3: Cross multiply
    10,085.49x = 15,128.34 × 8,323.59
  4. Step 4: Simplify right side
    10,085.49x = 125,922,067.64
  5. Step 5: Solve for x
    x = 125,922,067.64/10,085.49
  6. Step 6: Final answer
    x = 12,485.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.