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Finding the Fourth Proportional to 2,145.85, 3,218.47 and 585.95

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Solution

The fourth proportional to 2,145.85, 3,218.47 and 585.95 is: 878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.85 : 3,218.47 = 585.95 : x
  2. Step 2: Convert to fraction form
    2,145.85/3,218.47 = 585.95/x
  3. Step 3: Cross multiply
    2,145.85x = 3,218.47 × 585.95
  4. Step 4: Simplify right side
    2,145.85x = 1,885,844.94
  5. Step 5: Solve for x
    x = 1,885,844.94/2,145.85
  6. Step 6: Final answer
    x = 878.83

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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.