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Finding the Fourth Proportional to 11,162.64, 16,718.28 and 6,471.06

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Solution

The fourth proportional to 11,162.64, 16,718.28 and 6,471.06 is: 9,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.64 : 16,718.28 = 6,471.06 : x
  2. Step 2: Convert to fraction form
    11,162.64/16,718.28 = 6,471.06/x
  3. Step 3: Cross multiply
    11,162.64x = 16,718.28 × 6,471.06
  4. Step 4: Simplify right side
    11,162.64x = 108,184,992.98
  5. Step 5: Solve for x
    x = 108,184,992.98/11,162.64
  6. Step 6: Final answer
    x = 9,691.70

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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.