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Finding the Fourth Proportional to 12,175.80, 18,232.31 and 10,432.08

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Solution

The fourth proportional to 12,175.80, 18,232.31 and 10,432.08 is: 15,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.80 : 18,232.31 = 10,432.08 : x
  2. Step 2: Convert to fraction form
    12,175.80/18,232.31 = 10,432.08/x
  3. Step 3: Cross multiply
    12,175.80x = 18,232.31 × 10,432.08
  4. Step 4: Simplify right side
    12,175.80x = 190,200,864.34
  5. Step 5: Solve for x
    x = 190,200,864.34/12,175.80
  6. Step 6: Final answer
    x = 15,621.22

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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.