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Finding the Fourth Proportional to 11,394.45, 15,723.80 and 8,409.20

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Solution

The fourth proportional to 11,394.45, 15,723.80 and 8,409.20 is: 11,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.45 : 15,723.80 = 8,409.20 : x
  2. Step 2: Convert to fraction form
    11,394.45/15,723.80 = 8,409.20/x
  3. Step 3: Cross multiply
    11,394.45x = 15,723.80 × 8,409.20
  4. Step 4: Simplify right side
    11,394.45x = 132,224,500.34
  5. Step 5: Solve for x
    x = 132,224,500.34/11,394.45
  6. Step 6: Final answer
    x = 11,604.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.