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Finding the Fourth Proportional to 11,509.16, 17,168.10 and 11,318.86

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Solution

The fourth proportional to 11,509.16, 17,168.10 and 11,318.86 is: 16,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.16 : 17,168.10 = 11,318.86 : x
  2. Step 2: Convert to fraction form
    11,509.16/17,168.10 = 11,318.86/x
  3. Step 3: Cross multiply
    11,509.16x = 17,168.10 × 11,318.86
  4. Step 4: Simplify right side
    11,509.16x = 194,323,234.53
  5. Step 5: Solve for x
    x = 194,323,234.53/11,509.16
  6. Step 6: Final answer
    x = 16,884.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.