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Finding the Fourth Proportional to 8,426.50, 12,634.89 and 3,746.50

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Solution

The fourth proportional to 8,426.50, 12,634.89 and 3,746.50 is: 5,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.50 : 12,634.89 = 3,746.50 : x
  2. Step 2: Convert to fraction form
    8,426.50/12,634.89 = 3,746.50/x
  3. Step 3: Cross multiply
    8,426.50x = 12,634.89 × 3,746.50
  4. Step 4: Simplify right side
    8,426.50x = 47,336,615.39
  5. Step 5: Solve for x
    x = 47,336,615.39/8,426.50
  6. Step 6: Final answer
    x = 5,617.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.