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Finding the Fourth Proportional to 5,288.50, 7,932.72 and 3,111.08

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Solution

The fourth proportional to 5,288.50, 7,932.72 and 3,111.08 is: 4,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.50 : 7,932.72 = 3,111.08 : x
  2. Step 2: Convert to fraction form
    5,288.50/7,932.72 = 3,111.08/x
  3. Step 3: Cross multiply
    5,288.50x = 7,932.72 × 3,111.08
  4. Step 4: Simplify right side
    5,288.50x = 24,679,326.54
  5. Step 5: Solve for x
    x = 24,679,326.54/5,288.50
  6. Step 6: Final answer
    x = 4,666.61

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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.