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Finding the Fourth Proportional to 12,896.00, 17,800.28 and 8,420.45

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Solution

The fourth proportional to 12,896.00, 17,800.28 and 8,420.45 is: 11,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.00 : 17,800.28 = 8,420.45 : x
  2. Step 2: Convert to fraction form
    12,896.00/17,800.28 = 8,420.45/x
  3. Step 3: Cross multiply
    12,896.00x = 17,800.28 × 8,420.45
  4. Step 4: Simplify right side
    12,896.00x = 149,886,299.78
  5. Step 5: Solve for x
    x = 149,886,299.78/12,896.00
  6. Step 6: Final answer
    x = 11,622.69

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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.