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Finding the Fourth Proportional to 2,043.36, 3,065 and 582.50

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Solution

The fourth proportional to 2,043.36, 3,065 and 582.50 is: 873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.36 : 3,065 = 582.50 : x
  2. Step 2: Convert to fraction form
    2,043.36/3,065 = 582.50/x
  3. Step 3: Cross multiply
    2,043.36x = 3,065 × 582.50
  4. Step 4: Simplify right side
    2,043.36x = 1,785,362.50
  5. Step 5: Solve for x
    x = 1,785,362.50/2,043.36
  6. Step 6: Final answer
    x = 873.74

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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.