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Finding the Fourth Proportional to 10,861.85, 16,201.46 and 9,865.25

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Solution

The fourth proportional to 10,861.85, 16,201.46 and 9,865.25 is: 14,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.85 : 16,201.46 = 9,865.25 : x
  2. Step 2: Convert to fraction form
    10,861.85/16,201.46 = 9,865.25/x
  3. Step 3: Cross multiply
    10,861.85x = 16,201.46 × 9,865.25
  4. Step 4: Simplify right side
    10,861.85x = 159,831,453.27
  5. Step 5: Solve for x
    x = 159,831,453.27/10,861.85
  6. Step 6: Final answer
    x = 14,714.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.