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Finding the Fourth Proportional to 12,912.12, 17,828.64 and 9,383.76

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Solution

The fourth proportional to 12,912.12, 17,828.64 and 9,383.76 is: 12,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.12 : 17,828.64 = 9,383.76 : x
  2. Step 2: Convert to fraction form
    12,912.12/17,828.64 = 9,383.76/x
  3. Step 3: Cross multiply
    12,912.12x = 17,828.64 × 9,383.76
  4. Step 4: Simplify right side
    12,912.12x = 167,299,678.89
  5. Step 5: Solve for x
    x = 167,299,678.89/12,912.12
  6. Step 6: Final answer
    x = 12,956.79

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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.