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Finding the Fourth Proportional to 2,146.27, 3,219.07 and 586.40

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Solution

The fourth proportional to 2,146.27, 3,219.07 and 586.40 is: 879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.27 : 3,219.07 = 586.40 : x
  2. Step 2: Convert to fraction form
    2,146.27/3,219.07 = 586.40/x
  3. Step 3: Cross multiply
    2,146.27x = 3,219.07 × 586.40
  4. Step 4: Simplify right side
    2,146.27x = 1,887,662.65
  5. Step 5: Solve for x
    x = 1,887,662.65/2,146.27
  6. Step 6: Final answer
    x = 879.51

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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.