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Finding the Fourth Proportional to 2,116.15, 3,174.32 and 655.32

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Solution

The fourth proportional to 2,116.15, 3,174.32 and 655.32 is: 983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.15 : 3,174.32 = 655.32 : x
  2. Step 2: Convert to fraction form
    2,116.15/3,174.32 = 655.32/x
  3. Step 3: Cross multiply
    2,116.15x = 3,174.32 × 655.32
  4. Step 4: Simplify right side
    2,116.15x = 2,080,195.38
  5. Step 5: Solve for x
    x = 2,080,195.38/2,116.15
  6. Step 6: Final answer
    x = 983.01

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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.