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Finding the Fourth Proportional to 7,864.54, 11,805 and 3,485.07

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Solution

The fourth proportional to 7,864.54, 11,805 and 3,485.07 is: 5,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.54 : 11,805 = 3,485.07 : x
  2. Step 2: Convert to fraction form
    7,864.54/11,805 = 3,485.07/x
  3. Step 3: Cross multiply
    7,864.54x = 11,805 × 3,485.07
  4. Step 4: Simplify right side
    7,864.54x = 41,141,251.35
  5. Step 5: Solve for x
    x = 41,141,251.35/7,864.54
  6. Step 6: Final answer
    x = 5,231.24

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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.