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Finding the Fourth Proportional to 2,008.17, 3,013.16 and 775.85

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Solution

The fourth proportional to 2,008.17, 3,013.16 and 775.85 is: 1,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.17 : 3,013.16 = 775.85 : x
  2. Step 2: Convert to fraction form
    2,008.17/3,013.16 = 775.85/x
  3. Step 3: Cross multiply
    2,008.17x = 3,013.16 × 775.85
  4. Step 4: Simplify right side
    2,008.17x = 2,337,741.24
  5. Step 5: Solve for x
    x = 2,337,741.24/2,008.17
  6. Step 6: Final answer
    x = 1,164.12

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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.