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Finding the Fourth Proportional to 13,420.16, 20,143.04 and 8,236.16

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Solution

The fourth proportional to 13,420.16, 20,143.04 and 8,236.16 is: 12,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.16 : 20,143.04 = 8,236.16 : x
  2. Step 2: Convert to fraction form
    13,420.16/20,143.04 = 8,236.16/x
  3. Step 3: Cross multiply
    13,420.16x = 20,143.04 × 8,236.16
  4. Step 4: Simplify right side
    13,420.16x = 165,901,300.33
  5. Step 5: Solve for x
    x = 165,901,300.33/13,420.16
  6. Step 6: Final answer
    x = 12,362.10

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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.