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Finding the Fourth Proportional to 12,680.64, 19,026.42 and 6,835.88

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Solution

The fourth proportional to 12,680.64, 19,026.42 and 6,835.88 is: 10,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.64 : 19,026.42 = 6,835.88 : x
  2. Step 2: Convert to fraction form
    12,680.64/19,026.42 = 6,835.88/x
  3. Step 3: Cross multiply
    12,680.64x = 19,026.42 × 6,835.88
  4. Step 4: Simplify right side
    12,680.64x = 130,062,228.82
  5. Step 5: Solve for x
    x = 130,062,228.82/12,680.64
  6. Step 6: Final answer
    x = 10,256.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.