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Finding the Fourth Proportional to 15,185.06, 20,954.43 and 8,471.11

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Solution

The fourth proportional to 15,185.06, 20,954.43 and 8,471.11 is: 11,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.06 : 20,954.43 = 8,471.11 : x
  2. Step 2: Convert to fraction form
    15,185.06/20,954.43 = 8,471.11/x
  3. Step 3: Cross multiply
    15,185.06x = 20,954.43 × 8,471.11
  4. Step 4: Simplify right side
    15,185.06x = 177,507,281.52
  5. Step 5: Solve for x
    x = 177,507,281.52/15,185.06
  6. Step 6: Final answer
    x = 11,689.60

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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.