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Finding the Fourth Proportional to 15,829.92, 21,847.98 and 9,119.44

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Solution

The fourth proportional to 15,829.92, 21,847.98 and 9,119.44 is: 12,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.92 : 21,847.98 = 9,119.44 : x
  2. Step 2: Convert to fraction form
    15,829.92/21,847.98 = 9,119.44/x
  3. Step 3: Cross multiply
    15,829.92x = 21,847.98 × 9,119.44
  4. Step 4: Simplify right side
    15,829.92x = 199,241,342.73
  5. Step 5: Solve for x
    x = 199,241,342.73/15,829.92
  6. Step 6: Final answer
    x = 12,586.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.