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Finding the Fourth Proportional to 1,923.14, 2,880.92 and 1,788.14

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Solution

The fourth proportional to 1,923.14, 2,880.92 and 1,788.14 is: 2,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.14 : 2,880.92 = 1,788.14 : x
  2. Step 2: Convert to fraction form
    1,923.14/2,880.92 = 1,788.14/x
  3. Step 3: Cross multiply
    1,923.14x = 2,880.92 × 1,788.14
  4. Step 4: Simplify right side
    1,923.14x = 5,151,488.29
  5. Step 5: Solve for x
    x = 5,151,488.29/1,923.14
  6. Step 6: Final answer
    x = 2,678.69

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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.