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Finding the Fourth Proportional to 6,078.76, 9,115 and 2,788.99

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Solution

The fourth proportional to 6,078.76, 9,115 and 2,788.99 is: 4,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.76 : 9,115 = 2,788.99 : x
  2. Step 2: Convert to fraction form
    6,078.76/9,115 = 2,788.99/x
  3. Step 3: Cross multiply
    6,078.76x = 9,115 × 2,788.99
  4. Step 4: Simplify right side
    6,078.76x = 25,421,643.85
  5. Step 5: Solve for x
    x = 25,421,643.85/6,078.76
  6. Step 6: Final answer
    x = 4,182.04

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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.