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Finding the Fourth Proportional to 11,651.76, 17,461.92 and 8,357.64

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Solution

The fourth proportional to 11,651.76, 17,461.92 and 8,357.64 is: 12,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.76 : 17,461.92 = 8,357.64 : x
  2. Step 2: Convert to fraction form
    11,651.76/17,461.92 = 8,357.64/x
  3. Step 3: Cross multiply
    11,651.76x = 17,461.92 × 8,357.64
  4. Step 4: Simplify right side
    11,651.76x = 145,940,441.07
  5. Step 5: Solve for x
    x = 145,940,441.07/11,651.76
  6. Step 6: Final answer
    x = 12,525.18

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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.