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Finding the Fourth Proportional to 11,461.76, 17,158.08 and 8,385.92

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Solution

The fourth proportional to 11,461.76, 17,158.08 and 8,385.92 is: 12,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.76 : 17,158.08 = 8,385.92 : x
  2. Step 2: Convert to fraction form
    11,461.76/17,158.08 = 8,385.92/x
  3. Step 3: Cross multiply
    11,461.76x = 17,158.08 × 8,385.92
  4. Step 4: Simplify right side
    11,461.76x = 143,886,286.23
  5. Step 5: Solve for x
    x = 143,886,286.23/11,461.76
  6. Step 6: Final answer
    x = 12,553.59

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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.