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Finding the Fourth Proportional to 2,146.28, 3,219.41 and 586.28

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Solution

The fourth proportional to 2,146.28, 3,219.41 and 586.28 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.28 : 3,219.41 = 586.28 : x
  2. Step 2: Convert to fraction form
    2,146.28/3,219.41 = 586.28/x
  3. Step 3: Cross multiply
    2,146.28x = 3,219.41 × 586.28
  4. Step 4: Simplify right side
    2,146.28x = 1,887,485.21
  5. Step 5: Solve for x
    x = 1,887,485.21/2,146.28
  6. Step 6: Final answer
    x = 879.42

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1.5x scale

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.