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Finding the Fourth Proportional to 11,861.79, 16,370.89 and 6,825.90

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Solution

The fourth proportional to 11,861.79, 16,370.89 and 6,825.90 is: 9,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.79 : 16,370.89 = 6,825.90 : x
  2. Step 2: Convert to fraction form
    11,861.79/16,370.89 = 6,825.90/x
  3. Step 3: Cross multiply
    11,861.79x = 16,370.89 × 6,825.90
  4. Step 4: Simplify right side
    11,861.79x = 111,746,058.05
  5. Step 5: Solve for x
    x = 111,746,058.05/11,861.79
  6. Step 6: Final answer
    x = 9,420.68

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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.