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Finding the Fourth Proportional to 12,930.08, 17,838 and 8,141.52

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Solution

The fourth proportional to 12,930.08, 17,838 and 8,141.52 is: 11,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.08 : 17,838 = 8,141.52 : x
  2. Step 2: Convert to fraction form
    12,930.08/17,838 = 8,141.52/x
  3. Step 3: Cross multiply
    12,930.08x = 17,838 × 8,141.52
  4. Step 4: Simplify right side
    12,930.08x = 145,228,433.76
  5. Step 5: Solve for x
    x = 145,228,433.76/12,930.08
  6. Step 6: Final answer
    x = 11,231.83

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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.