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Finding the Fourth Proportional to 2,115.77, 3,173.96 and 655.04

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Solution

The fourth proportional to 2,115.77, 3,173.96 and 655.04 is: 982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.77 : 3,173.96 = 655.04 : x
  2. Step 2: Convert to fraction form
    2,115.77/3,173.96 = 655.04/x
  3. Step 3: Cross multiply
    2,115.77x = 3,173.96 × 655.04
  4. Step 4: Simplify right side
    2,115.77x = 2,079,051.61
  5. Step 5: Solve for x
    x = 2,079,051.61/2,115.77
  6. Step 6: Final answer
    x = 982.65

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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.