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Finding the Fourth Proportional to 8,337, 12,505.50 and 3,409.32

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Solution

The fourth proportional to 8,337, 12,505.50 and 3,409.32 is: 5,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337 : 12,505.50 = 3,409.32 : x
  2. Step 2: Convert to fraction form
    8,337/12,505.50 = 3,409.32/x
  3. Step 3: Cross multiply
    8,337x = 12,505.50 × 3,409.32
  4. Step 4: Simplify right side
    8,337x = 42,635,251.26
  5. Step 5: Solve for x
    x = 42,635,251.26/8,337
  6. Step 6: Final answer
    x = 5,113.98

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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.