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Finding the Fourth Proportional to 2,607.12, 3,910.48 and 659.27

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Solution

The fourth proportional to 2,607.12, 3,910.48 and 659.27 is: 988.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.12 : 3,910.48 = 659.27 : x
  2. Step 2: Convert to fraction form
    2,607.12/3,910.48 = 659.27/x
  3. Step 3: Cross multiply
    2,607.12x = 3,910.48 × 659.27
  4. Step 4: Simplify right side
    2,607.12x = 2,578,070.28
  5. Step 5: Solve for x
    x = 2,578,070.28/2,607.12
  6. Step 6: Final answer
    x = 988.86

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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.