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Finding the Fourth Proportional to 14,906.40, 20,570.70 and 8,192.10

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Solution

The fourth proportional to 14,906.40, 20,570.70 and 8,192.10 is: 11,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.40 : 20,570.70 = 8,192.10 : x
  2. Step 2: Convert to fraction form
    14,906.40/20,570.70 = 8,192.10/x
  3. Step 3: Cross multiply
    14,906.40x = 20,570.70 × 8,192.10
  4. Step 4: Simplify right side
    14,906.40x = 168,517,231.47
  5. Step 5: Solve for x
    x = 168,517,231.47/14,906.40
  6. Step 6: Final answer
    x = 11,305.03

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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.