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Finding the Fourth Proportional to 8,396.64, 12,594.29 and 2,156.90

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Solution

The fourth proportional to 8,396.64, 12,594.29 and 2,156.90 is: 3,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.64 : 12,594.29 = 2,156.90 : x
  2. Step 2: Convert to fraction form
    8,396.64/12,594.29 = 2,156.90/x
  3. Step 3: Cross multiply
    8,396.64x = 12,594.29 × 2,156.90
  4. Step 4: Simplify right side
    8,396.64x = 27,164,550.35
  5. Step 5: Solve for x
    x = 27,164,550.35/8,396.64
  6. Step 6: Final answer
    x = 3,235.17

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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.