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Finding the Fourth Proportional to 11,930.40, 17,875.28 and 7,764.08

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Solution

The fourth proportional to 11,930.40, 17,875.28 and 7,764.08 is: 11,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.40 : 17,875.28 = 7,764.08 : x
  2. Step 2: Convert to fraction form
    11,930.40/17,875.28 = 7,764.08/x
  3. Step 3: Cross multiply
    11,930.40x = 17,875.28 × 7,764.08
  4. Step 4: Simplify right side
    11,930.40x = 138,785,103.94
  5. Step 5: Solve for x
    x = 138,785,103.94/11,930.40
  6. Step 6: Final answer
    x = 11,632.90

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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.