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Finding the Fourth Proportional to 8,634.32, 12,939.12 and 3,702.64

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Solution

The fourth proportional to 8,634.32, 12,939.12 and 3,702.64 is: 5,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.32 : 12,939.12 = 3,702.64 : x
  2. Step 2: Convert to fraction form
    8,634.32/12,939.12 = 3,702.64/x
  3. Step 3: Cross multiply
    8,634.32x = 12,939.12 × 3,702.64
  4. Step 4: Simplify right side
    8,634.32x = 47,908,903.28
  5. Step 5: Solve for x
    x = 47,908,903.28/8,634.32
  6. Step 6: Final answer
    x = 5,548.66

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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.