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Finding the Fourth Proportional to 12,840.12, 17,717.94 and 7,251.12

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Solution

The fourth proportional to 12,840.12, 17,717.94 and 7,251.12 is: 10,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.12 : 17,717.94 = 7,251.12 : x
  2. Step 2: Convert to fraction form
    12,840.12/17,717.94 = 7,251.12/x
  3. Step 3: Cross multiply
    12,840.12x = 17,717.94 × 7,251.12
  4. Step 4: Simplify right side
    12,840.12x = 128,474,909.09
  5. Step 5: Solve for x
    x = 128,474,909.09/12,840.12
  6. Step 6: Final answer
    x = 10,005.74

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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.