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Finding the Fourth Proportional to 8,403, 12,604.80 and 2,247

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Solution

The fourth proportional to 8,403, 12,604.80 and 2,247 is: 3,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403 : 12,604.80 = 2,247 : x
  2. Step 2: Convert to fraction form
    8,403/12,604.80 = 2,247/x
  3. Step 3: Cross multiply
    8,403x = 12,604.80 × 2,247
  4. Step 4: Simplify right side
    8,403x = 28,322,985.60
  5. Step 5: Solve for x
    x = 28,322,985.60/8,403
  6. Step 6: Final answer
    x = 3,370.58

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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.