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Finding the Fourth Proportional to 11,847.55, 17,754.36 and 8,702.86

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Solution

The fourth proportional to 11,847.55, 17,754.36 and 8,702.86 is: 13,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.55 : 17,754.36 = 8,702.86 : x
  2. Step 2: Convert to fraction form
    11,847.55/17,754.36 = 8,702.86/x
  3. Step 3: Cross multiply
    11,847.55x = 17,754.36 × 8,702.86
  4. Step 4: Simplify right side
    11,847.55x = 154,513,709.47
  5. Step 5: Solve for x
    x = 154,513,709.47/11,847.55
  6. Step 6: Final answer
    x = 13,041.83

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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.