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Finding the Fourth Proportional to 10,201, 14,100.96 and 8,512.60

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Solution

The fourth proportional to 10,201, 14,100.96 and 8,512.60 is: 11,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201 : 14,100.96 = 8,512.60 : x
  2. Step 2: Convert to fraction form
    10,201/14,100.96 = 8,512.60/x
  3. Step 3: Cross multiply
    10,201x = 14,100.96 × 8,512.60
  4. Step 4: Simplify right side
    10,201x = 120,035,832.10
  5. Step 5: Solve for x
    x = 120,035,832.10/10,201
  6. Step 6: Final answer
    x = 11,767.07

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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.