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Finding the Fourth Proportional to 2,036.20, 3,054.30 and 737.50

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Solution

The fourth proportional to 2,036.20, 3,054.30 and 737.50 is: 1,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.20 : 3,054.30 = 737.50 : x
  2. Step 2: Convert to fraction form
    2,036.20/3,054.30 = 737.50/x
  3. Step 3: Cross multiply
    2,036.20x = 3,054.30 × 737.50
  4. Step 4: Simplify right side
    2,036.20x = 2,252,546.25
  5. Step 5: Solve for x
    x = 2,252,546.25/2,036.20
  6. Step 6: Final answer
    x = 1,106.25

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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.