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Finding the Fourth Proportional to 8,538.70, 12,809.37 and 3,607.90

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Solution

The fourth proportional to 8,538.70, 12,809.37 and 3,607.90 is: 5,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.70 : 12,809.37 = 3,607.90 : x
  2. Step 2: Convert to fraction form
    8,538.70/12,809.37 = 3,607.90/x
  3. Step 3: Cross multiply
    8,538.70x = 12,809.37 × 3,607.90
  4. Step 4: Simplify right side
    8,538.70x = 46,214,926.02
  5. Step 5: Solve for x
    x = 46,214,926.02/8,538.70
  6. Step 6: Final answer
    x = 5,412.41

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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.