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Finding the Fourth Proportional to 11,645.76, 17,477.10 and 8,731.92

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Solution

The fourth proportional to 11,645.76, 17,477.10 and 8,731.92 is: 13,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.76 : 17,477.10 = 8,731.92 : x
  2. Step 2: Convert to fraction form
    11,645.76/17,477.10 = 8,731.92/x
  3. Step 3: Cross multiply
    11,645.76x = 17,477.10 × 8,731.92
  4. Step 4: Simplify right side
    11,645.76x = 152,608,639.03
  5. Step 5: Solve for x
    x = 152,608,639.03/11,645.76
  6. Step 6: Final answer
    x = 13,104.22

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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.