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Finding the Fourth Proportional to 11,117.10, 16,651.35 and 9,659.10

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Solution

The fourth proportional to 11,117.10, 16,651.35 and 9,659.10 is: 14,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.10 : 16,651.35 = 9,659.10 : x
  2. Step 2: Convert to fraction form
    11,117.10/16,651.35 = 9,659.10/x
  3. Step 3: Cross multiply
    11,117.10x = 16,651.35 × 9,659.10
  4. Step 4: Simplify right side
    11,117.10x = 160,837,054.79
  5. Step 5: Solve for x
    x = 160,837,054.79/11,117.10
  6. Step 6: Final answer
    x = 14,467.54

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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.