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Finding the Fourth Proportional to 29,687.16, 40,975.02 and 18,507

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Solution

The fourth proportional to 29,687.16, 40,975.02 and 18,507 is: 25,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,687.16 : 40,975.02 = 18,507 : x
  2. Step 2: Convert to fraction form
    29,687.16/40,975.02 = 18,507/x
  3. Step 3: Cross multiply
    29,687.16x = 40,975.02 × 18,507
  4. Step 4: Simplify right side
    29,687.16x = 758,324,695.14
  5. Step 5: Solve for x
    x = 758,324,695.14/29,687.16
  6. Step 6: Final answer
    x = 25,543.86

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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.