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Finding the Fourth Proportional to 23,885.28, 35,838 and 12,789

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Solution

The fourth proportional to 23,885.28, 35,838 and 12,789 is: 19,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.28 : 35,838 = 12,789 : x
  2. Step 2: Convert to fraction form
    23,885.28/35,838 = 12,789/x
  3. Step 3: Cross multiply
    23,885.28x = 35,838 × 12,789
  4. Step 4: Simplify right side
    23,885.28x = 458,332,182
  5. Step 5: Solve for x
    x = 458,332,182/23,885.28
  6. Step 6: Final answer
    x = 19,188.90

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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.