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Finding the Fourth Proportional to 12,034.10, 18,051.15 and 9,118.10

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Solution

The fourth proportional to 12,034.10, 18,051.15 and 9,118.10 is: 13,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.10 : 18,051.15 = 9,118.10 : x
  2. Step 2: Convert to fraction form
    12,034.10/18,051.15 = 9,118.10/x
  3. Step 3: Cross multiply
    12,034.10x = 18,051.15 × 9,118.10
  4. Step 4: Simplify right side
    12,034.10x = 164,592,190.82
  5. Step 5: Solve for x
    x = 164,592,190.82/12,034.10
  6. Step 6: Final answer
    x = 13,677.15

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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.