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Finding the Fourth Proportional to 8,416.50, 12,619.89 and 3,736.50

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Solution

The fourth proportional to 8,416.50, 12,619.89 and 3,736.50 is: 5,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.50 : 12,619.89 = 3,736.50 : x
  2. Step 2: Convert to fraction form
    8,416.50/12,619.89 = 3,736.50/x
  3. Step 3: Cross multiply
    8,416.50x = 12,619.89 × 3,736.50
  4. Step 4: Simplify right side
    8,416.50x = 47,154,218.99
  5. Step 5: Solve for x
    x = 47,154,218.99/8,416.50
  6. Step 6: Final answer
    x = 5,602.59

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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.