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Finding the Fourth Proportional to 7,855.52, 11,780.08 and 3,905.36

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Solution

The fourth proportional to 7,855.52, 11,780.08 and 3,905.36 is: 5,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.52 : 11,780.08 = 3,905.36 : x
  2. Step 2: Convert to fraction form
    7,855.52/11,780.08 = 3,905.36/x
  3. Step 3: Cross multiply
    7,855.52x = 11,780.08 × 3,905.36
  4. Step 4: Simplify right side
    7,855.52x = 46,005,453.23
  5. Step 5: Solve for x
    x = 46,005,453.23/7,855.52
  6. Step 6: Final answer
    x = 5,856.45

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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.