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Finding the Fourth Proportional to 2,788.64, 4,158.37 and 2,763.65

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Solution

The fourth proportional to 2,788.64, 4,158.37 and 2,763.65 is: 4,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.64 : 4,158.37 = 2,763.65 : x
  2. Step 2: Convert to fraction form
    2,788.64/4,158.37 = 2,763.65/x
  3. Step 3: Cross multiply
    2,788.64x = 4,158.37 × 2,763.65
  4. Step 4: Simplify right side
    2,788.64x = 11,492,293.10
  5. Step 5: Solve for x
    x = 11,492,293.10/2,788.64
  6. Step 6: Final answer
    x = 4,121.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.