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Finding the Fourth Proportional to 12,243.64, 16,893.28 and 7,765.76

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Solution

The fourth proportional to 12,243.64, 16,893.28 and 7,765.76 is: 10,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.64 : 16,893.28 = 7,765.76 : x
  2. Step 2: Convert to fraction form
    12,243.64/16,893.28 = 7,765.76/x
  3. Step 3: Cross multiply
    12,243.64x = 16,893.28 × 7,765.76
  4. Step 4: Simplify right side
    12,243.64x = 131,189,118.84
  5. Step 5: Solve for x
    x = 131,189,118.84/12,243.64
  6. Step 6: Final answer
    x = 10,714.88

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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.