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Finding the Fourth Proportional to 7,840.32, 11,761.76 and 2,644.48

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Solution

The fourth proportional to 7,840.32, 11,761.76 and 2,644.48 is: 3,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.32 : 11,761.76 = 2,644.48 : x
  2. Step 2: Convert to fraction form
    7,840.32/11,761.76 = 2,644.48/x
  3. Step 3: Cross multiply
    7,840.32x = 11,761.76 × 2,644.48
  4. Step 4: Simplify right side
    7,840.32x = 31,103,739.08
  5. Step 5: Solve for x
    x = 31,103,739.08/7,840.32
  6. Step 6: Final answer
    x = 3,967.15

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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.