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Finding the Fourth Proportional to 12,840.79, 19,263 and 3,956.84

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Solution

The fourth proportional to 12,840.79, 19,263 and 3,956.84 is: 5,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.79 : 19,263 = 3,956.84 : x
  2. Step 2: Convert to fraction form
    12,840.79/19,263 = 3,956.84/x
  3. Step 3: Cross multiply
    12,840.79x = 19,263 × 3,956.84
  4. Step 4: Simplify right side
    12,840.79x = 76,220,608.92
  5. Step 5: Solve for x
    x = 76,220,608.92/12,840.79
  6. Step 6: Final answer
    x = 5,935.82

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1.5x scale

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.