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Finding the Fourth Proportional to 17,705.28, 26,561.92 and 9,919.04

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Solution

The fourth proportional to 17,705.28, 26,561.92 and 9,919.04 is: 14,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.28 : 26,561.92 = 9,919.04 : x
  2. Step 2: Convert to fraction form
    17,705.28/26,561.92 = 9,919.04/x
  3. Step 3: Cross multiply
    17,705.28x = 26,561.92 × 9,919.04
  4. Step 4: Simplify right side
    17,705.28x = 263,468,746.96
  5. Step 5: Solve for x
    x = 263,468,746.96/17,705.28
  6. Step 6: Final answer
    x = 14,880.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.