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Finding the Fourth Proportional to 2,046.20, 3,062.10 and 1,873.40

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Solution

The fourth proportional to 2,046.20, 3,062.10 and 1,873.40 is: 2,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.20 : 3,062.10 = 1,873.40 : x
  2. Step 2: Convert to fraction form
    2,046.20/3,062.10 = 1,873.40/x
  3. Step 3: Cross multiply
    2,046.20x = 3,062.10 × 1,873.40
  4. Step 4: Simplify right side
    2,046.20x = 5,736,538.14
  5. Step 5: Solve for x
    x = 5,736,538.14/2,046.20
  6. Step 6: Final answer
    x = 2,803.51

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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.