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Finding the Fourth Proportional to 2,146.33, 3,219.63 and 586.36

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Solution

The fourth proportional to 2,146.33, 3,219.63 and 586.36 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.33 : 3,219.63 = 586.36 : x
  2. Step 2: Convert to fraction form
    2,146.33/3,219.63 = 586.36/x
  3. Step 3: Cross multiply
    2,146.33x = 3,219.63 × 586.36
  4. Step 4: Simplify right side
    2,146.33x = 1,887,862.25
  5. Step 5: Solve for x
    x = 1,887,862.25/2,146.33
  6. Step 6: Final answer
    x = 879.58

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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.