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Finding the Fourth Proportional to 8,342.34, 12,509.24 and 2,793.68

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Solution

The fourth proportional to 8,342.34, 12,509.24 and 2,793.68 is: 4,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.34 : 12,509.24 = 2,793.68 : x
  2. Step 2: Convert to fraction form
    8,342.34/12,509.24 = 2,793.68/x
  3. Step 3: Cross multiply
    8,342.34x = 12,509.24 × 2,793.68
  4. Step 4: Simplify right side
    8,342.34x = 34,946,813.60
  5. Step 5: Solve for x
    x = 34,946,813.60/8,342.34
  6. Step 6: Final answer
    x = 4,189.09

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1.5x scale

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.