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Finding the Fourth Proportional to 11,391.30, 15,719.49 and 8,406.05

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Solution

The fourth proportional to 11,391.30, 15,719.49 and 8,406.05 is: 11,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.30 : 15,719.49 = 8,406.05 : x
  2. Step 2: Convert to fraction form
    11,391.30/15,719.49 = 8,406.05/x
  3. Step 3: Cross multiply
    11,391.30x = 15,719.49 × 8,406.05
  4. Step 4: Simplify right side
    11,391.30x = 132,138,740.32
  5. Step 5: Solve for x
    x = 132,138,740.32/11,391.30
  6. Step 6: Final answer
    x = 11,599.97

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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.