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Finding the Fourth Proportional to 11,854.16, 17,764.32 and 8,709.56

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Solution

The fourth proportional to 11,854.16, 17,764.32 and 8,709.56 is: 13,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.16 : 17,764.32 = 8,709.56 : x
  2. Step 2: Convert to fraction form
    11,854.16/17,764.32 = 8,709.56/x
  3. Step 3: Cross multiply
    11,854.16x = 17,764.32 × 8,709.56
  4. Step 4: Simplify right side
    11,854.16x = 154,719,410.90
  5. Step 5: Solve for x
    x = 154,719,410.90/11,854.16
  6. Step 6: Final answer
    x = 13,051.91

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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.