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Finding the Fourth Proportional to 11,829, 17,723.16 and 7,435.56

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Solution

The fourth proportional to 11,829, 17,723.16 and 7,435.56 is: 11,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 17,723.16 = 7,435.56 : x
  2. Step 2: Convert to fraction form
    11,829/17,723.16 = 7,435.56/x
  3. Step 3: Cross multiply
    11,829x = 17,723.16 × 7,435.56
  4. Step 4: Simplify right side
    11,829x = 131,781,619.57
  5. Step 5: Solve for x
    x = 131,781,619.57/11,829
  6. Step 6: Final answer
    x = 11,140.55

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1.5x scale

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.