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Finding the Fourth Proportional to 12,857.14, 17,750.60 and 8,388.64

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Solution

The fourth proportional to 12,857.14, 17,750.60 and 8,388.64 is: 11,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.14 : 17,750.60 = 8,388.64 : x
  2. Step 2: Convert to fraction form
    12,857.14/17,750.60 = 8,388.64/x
  3. Step 3: Cross multiply
    12,857.14x = 17,750.60 × 8,388.64
  4. Step 4: Simplify right side
    12,857.14x = 148,903,393.18
  5. Step 5: Solve for x
    x = 148,903,393.18/12,857.14
  6. Step 6: Final answer
    x = 11,581.38

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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.