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Finding the Fourth Proportional to 12,836.56, 17,714.70 and 7,247.56

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Solution

The fourth proportional to 12,836.56, 17,714.70 and 7,247.56 is: 10,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.56 : 17,714.70 = 7,247.56 : x
  2. Step 2: Convert to fraction form
    12,836.56/17,714.70 = 7,247.56/x
  3. Step 3: Cross multiply
    12,836.56x = 17,714.70 × 7,247.56
  4. Step 4: Simplify right side
    12,836.56x = 128,388,351.13
  5. Step 5: Solve for x
    x = 128,388,351.13/12,836.56
  6. Step 6: Final answer
    x = 10,001.77

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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.