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Finding the Fourth Proportional to 2,043.01, 3,064.50 and 582.16

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Solution

The fourth proportional to 2,043.01, 3,064.50 and 582.16 is: 873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.01 : 3,064.50 = 582.16 : x
  2. Step 2: Convert to fraction form
    2,043.01/3,064.50 = 582.16/x
  3. Step 3: Cross multiply
    2,043.01x = 3,064.50 × 582.16
  4. Step 4: Simplify right side
    2,043.01x = 1,784,029.32
  5. Step 5: Solve for x
    x = 1,784,029.32/2,043.01
  6. Step 6: Final answer
    x = 873.24

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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.