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Finding the Fourth Proportional to 12,089.32, 18,116.96 and 9,613.14

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Solution

The fourth proportional to 12,089.32, 18,116.96 and 9,613.14 is: 14,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.32 : 18,116.96 = 9,613.14 : x
  2. Step 2: Convert to fraction form
    12,089.32/18,116.96 = 9,613.14/x
  3. Step 3: Cross multiply
    12,089.32x = 18,116.96 × 9,613.14
  4. Step 4: Simplify right side
    12,089.32x = 174,160,872.85
  5. Step 5: Solve for x
    x = 174,160,872.85/12,089.32
  6. Step 6: Final answer
    x = 14,406.18

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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.