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Finding the Fourth Proportional to 12,533.64, 17,299.80 and 7,815.12

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Solution

The fourth proportional to 12,533.64, 17,299.80 and 7,815.12 is: 10,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.64 : 17,299.80 = 7,815.12 : x
  2. Step 2: Convert to fraction form
    12,533.64/17,299.80 = 7,815.12/x
  3. Step 3: Cross multiply
    12,533.64x = 17,299.80 × 7,815.12
  4. Step 4: Simplify right side
    12,533.64x = 135,200,012.98
  5. Step 5: Solve for x
    x = 135,200,012.98/12,533.64
  6. Step 6: Final answer
    x = 10,786.97

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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.